1150183 Joel Saavedra

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NATIONAL RESEARCH FUNDING COMPETITION FONDECYT Regular 2015 OFFICIAL VERSION Principal Investigator joel francisco saavedra alvear National Fund for Scientific & Technological Development (FONDECYT) Moneda 1375, Santiago Center - P.O Box 297-V, Santiago 21 Telephone: (56-2) 23654445 - 23654491 - 23654465 e-mail: [email protected] SANTIAGO - CHILE

Transcript of 1150183 Joel Saavedra

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NATIONAL RESEARCH FUNDING COMPETITIONFONDECYT Regular 2015

OFFICIAL VERSION

Principal Investigator

joel francisco saavedra alvear

National Fund for Scientific & Technological Development (FONDECYT)Moneda 1375, Santiago Center - P.O Box 297-V, Santiago 21Telephone: (56-2) 23654445 - 23654491 - 23654465e-mail: [email protected] - CHILE

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FONDECYT Study Group

ASTRON.,COSMOL.Y PAR

N° 1150183

NATIONAL RESEARCH FUNDING COMPETITIONCompetition FONDECYT Regular 2015

General Information

Proposal ID 1150183

Proposal Title Physics Beyond Einstein's Theory of Gravity.

FONDECYT Council Science

Proposed Length 4 Years

Keywords cosmologyblack holesEinstein gravity

Primary Field General Relativity & Cosmology

Secondary Field(s) Other areas of Physics

OECD Field FISICA DE PARTICULAS Y CAMPOS

Application Sector(s) General Knowledge

Application Region(s) Not applicable

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Project ResearchersPrincipal Investigator

Name joel francisco saavedra alvear

Email [email protected]

Institution PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO / FACULTAD DE CIENCIASBASICAS Y MATEMATICAS / INSTITUTO DE FISICA

Coinvestigator(s)

Name samuel lepe

Email [email protected]

Institution PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO / FACULTAD DE CIENCIASBASICAS Y MATEMATICAS / INSTITUTO DE FISICA

Name ramon herrera

Email [email protected]

Institution PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO / FACULTAD DE CIENCIASBASICAS Y MATEMATICAS / INSTITUTO DE FISICA

Name andres anabalon

Email [email protected]

Institution UNIVERSIDAD ADOLFO IBANEZ / FACULTAD DE ARTES LIBERALES / DEPARTAMENTO DECIENCIAS

InstitutionsSponsoring Institution(s)

SponsoringInstitution

PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO / FACULTAD DE CIENCIASBASICAS Y MATEMATICAS / INSTITUTO DE FISICA

Secundary Institution UNIVERSIDAD ADOLFO IBANEZ / FACULTAD DE ARTES LIBERALES / DEPARTAMENTO DECIENCIAS

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Funding Request Summary (1000 CLP$)

Item Year 1 Year 2 Year 3 Year 4 Total

Staff 17,400 17,400 17,400 17,400 69,600

Proposal Travel 17,000 17,000 17,000 17,000 68,000

International CooperationTravel

3,000 3,000 3,000 3,000 12,000

Operational Expenses 6,500 6,500 6,500 6,500 26,000

Equipment 6,000 6,000 0 0 12,000

Totals 49,900 49,900 43,900 43,900 187,600

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Object/Objects of Study

Your project involves studies in/with

Human subjects and human biological samples

Animals samples and/or biological material

Materials subject to Biosafety risk

Archaeological sites

Protected species/wildlife areas, foreign species introduction

Archives and/or databases containing sensitive information

Not Applicable X

Justification

proyecto de física teórica

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2015 FONDECYT Regular Competition

PROPOSAL ABSTRACT: !

Name of Principal Investigator: Joel Saavedra Alvear

Proposal Title: Physics Beyond Einstein’s Theory of Gravity

!Describe the main issues to be addressed: goals, methodology and expected results. The maximum length for this section is 1 page (Verdana font size 10, letter size is suggested). Cosmological evolution and black hole physics, are some of the most exciting topics of gravitational theory. In this proposal we would like to study esencially these issues of gravitational theories beyond Einstein framework.

The early and late stages, will be studied by considering different theoretical approaches, such as Einstein gravity, and alternative formalisms, like braneworld, scalar-tensor theories. For early stages, inflation guides current scientific understanding of how the universe evolved from its beginning and how it got to its currently accelerated phase (the dark energy problem).

While the basic paradigm of inflation is clear, there are many details that need attention, spanning the range from fundamental physics research to CMB phenomenology. Additionally, late evolution is a challenging topic; the hope is that current observational data can be a guide for building reasonable schema which can describe such a stage. The most compelling expectations are to be addressed, as informed by CMB, Planck, and other observations. This information is, of course, very relevant for guiding the theoretical task. The other addresses study in this proposal is associated black hole physics, in particular finding solutions of these new theories and characterizing physical properties as quasinormal modes, grey-body factors, Hawking temperature, gravitational anomaly and Hawking radiation and tunnel processes.

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PROPOSED RESEARCH The maximum length of this file is 12 pages (letter size, Verdana size 10 is suggested). For an adequate evaluation of your proposal merits, this file must include the following aspects: Proposal description, Hypothesis, General and specific goals, Methodology, Work Plan, Work in progress and Available Resources. Keep in mind the Bases del Concurso Nacional de Proyectos FONDECYT Regular 2015 and Application Instructions. How did the universe begin? What is the universe made off?, Does it have an end? The first question has exercised the human imagination for millennia. During the last 100 years we have been able to address it scientifically. Now, for the first time in history, it is possible to explore what happened in the universe during the first fraction of a second of its existence. In relation to the second question, recent research reveals that nearly 95% of the universe is invisible and composed by something radically different from the normal atomic building blocks of our everyday lives. In this way, our “Dark Universe” (Dark Matter ~ 25%, Dark Energy ~ 70% and baryonic matter ~ 5%) critically needs to be much better understood with its evolution as a whole. Many questions remain open, particularly in regard to the present epoch of expansion dominated by dark energy and its relation to the inflationary stage, which precedes the radiation and dark matter dominated stages. About the third question, little can be said yet; whether or not the cosmological constant (seen as dark energy) will be the dominant component in the future is an open question. Let us begin discussing the evolution of the universe; Inflationary universe models provide a satisfactory resolution of some shortcomings of the hot big bang model [1]. In fact, in addition to offering an elegant explanation for the extent of homogeneity and isotropy of the background universe, inflation also provides an attractive causal mechanism to generate the inhomogeneities superimposed upon it. The inflationary epoch amplifies the tiny quantum fluctuations present at the beginning of the epoch and converts them into classical perturbations which leave their imprints as anisotropies in the CMB. These anisotropies in turn act as seeds for the formation of the large scale structures that we observe at the present time as galaxies and clusters of galaxies. With the anisotropies in the CMB being measured to greater and greater precision, we have an unprecedented scope to test the predictions of inflation. For instance, the simplest models of inflation driven by a single, slowly rolling scalar field, generically predict a nearly scale invariant spectrum of primordial perturbations, which seems to be in excellent agreement with the observations of the CMB. Perturbations around a background solution allow us to determine explicit expressions for the contrast energy-density δρ/ρ, together with the power spectrum P(k) within inflationary models. These results are confronted with the observational data obtained by many ground-based and balloon-borne experiments that have improved the measurements of the CMB structure on small angular scales (or equivalently, high multipole orders). This is also the main aim of the recently completed BOOMERanG (Balloon Observations Of Millimeter Extragalactic Radiation and Geomagnetic) [2] and MAXIMA [3] experiments, which have shown to be highly promising. They are followed by a second-generation satellite experiments such as WMAP [4] and the Planck spacecraft [5], which have given their first sets of results. Here we would like to show the aim of this mission: “Planck will help provide answers to some of the most important questions in modern science: how did the Universe begin, how did it evolve to the state we observe today, and how will it continue to evolve in the future? Planck's objective is to analyse, with the highest accuracy ever achieved, the remnants of the radiation that filled the Universe immediately after the Big Bang - this we observe today as the Cosmic Microwave Background”1. Recently the cosmologists were impacted by the preliminary results from BICEP 2 experiment: Detection of B-modes polarization at degree angular scales [6]. The amazing observation from the BICEP 2 experiment show an unexpectedly large amplitude for the tensor perturbations and it might become a strong test for inflationary models. However these results are still under a strong controversy.

1 European Space Agency, http://sci.esa.int/science-e/www/area/index.cfm?fareaid=17

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After these remarkable experimental results, we can say that we are in an important time for modern cosmology, especially from the theoretical point of view. We hope that this new set of data allows to verify the theoretical proposed model in order to describe the early and late universe. Just as an example, we would like to discuss a little bit of these preliminary results from Planck collaboration. The preliminary results were shown Preprint arXiv: 1303.5082, Planck 2013 results. XXII. Constraints on inflation. In this preprint, the Planck collaboration analyzed the implications of the Planck data for cosmic inflation and for example they constrained the scalar spectral index to 0.9603 0.0073sn = ± ruling out exact scale invariance. They also show a comparison for the theoretical prediction of selected inflationary models how the model fits in the plot for Tensor to Scalar Ratio (r) and Primordial Tilt ( sn ) and what models are ruled out by the observation (Figure 1).

Picture from: Preprint arXiv: 1303.5082, Planck 2013 results Therefore, after these important results allowing entrance to a golden era of cosmology, we need to revise the theoretical cosmological models in light of these novel results. The required accelerated expansion of the universe at early time can be fulfilled by a range of qualitatively different mechanisms with varied theoretical motivations. Several different types of inflation models have been proposed over the years. Let us mention some of them; old, new, chaotic, extended, hyperextended, natural, power-law, intermediate, warm, braneworld quintessential, p-adic, hybrid, eternal, multi-field, D-brane, tachyon, etc. [7]. Inserted in all these models are two things: (i) some sort of physics which can hang the universe up for a relatively long period with a vacuum-dominated equation of state, p ≈ −ρ; and (ii) some mechanism for ending this epoch to allow the later appearance of the radiation-dominated epoch within which the usual Big Bang cosmology starts. Although all the models named above might do this, none of them seems yet completely compelling. In fact, a detailed understanding of the physical origin of the inflationary expansion has remained elusive. Exacerbating this, during the last 20 years, inflationary models have evolved from a simple hypothesis to a widely accepted cosmological paradigm. They have been successful in the sense that they solve many fundamental cosmological problems, namely, the magnetic monopole, the horizon and the flatness problems, etc. They also make several predictions, such as the flatness of the universe and nearly scale-invariant amplitude spectrum, the running of the spectral index, etc. Up to now, any inflationary model features a rapid but finite period of expansion at very early times.

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In the dark side of the Universe, there is not only full evidence of the existence of the dark matter, but also narrowly constrained observations that obey different physics. For example, dark matter is necessary in the cosmic background radiation; it is also deduced from redshifts surveys, and from gravitational lensing [8-9]. Moving to the study of spectacular recent astronomical measurements related to the peak B-band luminosities of high redshift of SNe Ia led to the very surprising discovery by two independent groups, the Supernova Cosmology Project [10] and the High-z Supernova Search Team [11] that the current expansion of the Universe is accelerating. This acceleration is consistent with some form of “dark energy”, possibly Einstein’s cosmological constant or some scalar field called “quintessence”. Here we cite “Our inclination is to give greater weight to the BAO measurements and to conclude that there is no strong evidence that the dark energy is anything other than a cosmological constant”, Planck 2013 results XVI Cosmological parameters [5]. Dark energy refers to a mysterious form of energy density that causes an effective repulsive gravitational force, resulting in an accelerated expansion of the universe; by contrast, if the universe were filled only with conventional matter and radiation, the expansion would be slowing down. On this hand, studies of the brightness of distant supernovae (exploding stars), were surprising due to the finding of evidence for dark energy and also that most of the total energy density (70%) in the universe is from dark energy; the remaining 30% is [mostly dark] matter. Shortly thereafter, additional evidence for dark energy was found in the pattern of temperature fluctuations in the (almost) three degree cosmic microwave background radiation and in the large-scale distribution of galaxies. Although dark energy dominates the universe today, the theory in fact predicts that its density should be 10120 times larger, a puzzle known as the cosmological constant problem [12]. In this way, it is not excluded logically that the cosmological constant could be tuned exactly to zero in the true vacuum by a yet unknown mechanism, although the anthropic explanation of the observed small vacuum energy is quite natural [13]. If this is the case, the present cosmological constant should be a potential energy carried by an extremely light boson that we have called above quintessence [14] and the magnitude of the cosmological constant may be directly linked to relevant energy scales beyond the particle standard model. Regarding the nature of the dark energy it could be said that it is one of the mysteries of cosmology. While dark energy makes up at least 70% of the energy density of the Universe, both its composition and its distribution are unknown. An appropriated cosmological model should not only fit the high redshift supernovae data, but also the cosmic microwave background anisotropy spectrum as well as safely pass other tests. It must solve the coincidence problem as well, namely “Why is the Universe accelerating just now?”, or, in the realm of Einstein gravity “Why are the densities of matter and dark energy of precisely the same order today?” Note that these two energies scale differently with redshift. This cosmic coincidence problem is a serious challenge to dark energy model. While it might happen that this coincidence is just a “coincidence” and as such no explanation is to be found, we believe that models that fail to account for this can not be regarded as satisfactory [15]. In a class of models designed to solve this problem, the dark energy density “tracks” the matter energy density for most of the history of the Universe, and overcomes it only recently [16]. However, these models suffer the drawback of fine-tuning the initial conditions. There is an especially successful subset of models based on an interaction between dark energy and cold matter (i.e., dust) where the ratio between the dark matter and the dark energy densities, denoted by the parameter r, tends to a constant of order unity at present time, thus solving the cosmic coincidence problem [17]. For the coincidence problem to be solved, however a condition must be satisfied, namely, the parameter r should be a slowly varying function of the scale factor, with r(a = a0) ≈ 3/7. By slowly varying function we mean that the current rate of variation of the parameter r(a) should be no more larger than H0, where H = (da/dt)/a denotes the Hubble parameter, a(t), the scale factor, and the zero subscript means quantities evaluated at present time. We should note that because we do not know nature of the dark matter and the dark energy, then, we do not know how they interact. But, various forms of interacting dark energy models have been constructed in order to fulfill the observational requirements [18].

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In order to provide theoretical paradigms for the description of dark energy, one can either consider theories of modified gravity, or field models of dark energy. The field models that have been discussed widely in the literature consider a cosmological constant, a canonical scalar field (quintessence), a phantom field (that is a scalar field with a negative sign of the kinetic term) or a combination of quintessence and phantom in a unified model named quintom. Although the observational data seems to rule out a possible late phantom evolution, this type of field is a motivating idea to explore as a possible component for driving future evolution (perhaps the deviation from -1 of the current equation state parameter ω(0) could be due to a incomplete statistic more than anything else, nevertheless nothing can be conclusive yet). The quintom models are capable of describing a crossing of the phantom divide, ω=-1, since in quintessence and phantom side of the phantom bound ω >-1, in quintessence, and ω <-1 in phantom scenarios. In general, we may think at the equation state parameter ω as a function of the redshift parameter z. For instance, quintessence models involving scalar fields give rise to time-dependent ω [19]. There are currently a number of efforts to probe the nature of dark energy with greater precision, and in particular, to determine whether dark energy density is constant or evolves with the cosmic time. In this sense, we should note that the corresponding astrophysical measurements for the acceleration of the universe have brought an interesting line of research. The reason seems to be that the standard Big-Bang model does not predict the acceleration that we observe today. Therefore, this acceleration has to put “by hand” into the standard cosmological model. Related to this research, an important question is how much we should determine the equation of state parameter analytically in order to be in agreement with the related observations. The knowledge of dark energy is, however, critical to understanding the evolution and fate of the universe. The observed acceleration of cosmic expansion unambiguously requires new physics: either gravity must fundamentally differ from the vision put forward by Einstein on large scales, or the cosmic energy budget must be dominated by a “new physical entity” which has an effective negative pressure. Unfortunately, the very small-observed value of dark energy density is profoundly inconsistent with the natural predictions of quantum mechanics for a vacuum energy or cosmological constant. Alternative models such as “quintessence” predict that dark energy properties should evolve with redshift, but current cosmological surveys are not yet able to discriminate between these possibilities. Among those models, the cosmological constant, associated to Einstein is the simplest one while scalar field models are motivated by particle physics. The most studied models for modified gravity are higher-derivative theories: f(R), Gauss-Bonnet, etc. These theories come about by a generalization of the Lagrangian in the Einstein-Hilbert action.

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Research Proposal

From its origin, inflationary theory has evolved from a very primitive hypothesis to an almost universally accepted cosmological paradigm. It solves many fundamental cosmological problems (like the magnetic monopole problem mentioned above, among others) and makes several predictions (such as the flatness of the Universe and the almost free scale amplitude spectrum). The inflationary age will be studied in shema that imply theories different than those of Einstein’s gravity; for example a study base on Scalar-Tensor Theory. It has been customary among cosmologists to start with the expansion of the universe described within the framework of Friedman-Robertson-Walker (FRW) cosmology. This means that isotropy and homogeneity are assumed from the very beginning. However, in order to explain the isotropy of the universe that we observe today, we need to consider more general sorts of metrics. In this way, we may study inflationary universe models where anisotropy, for instance, is considered from the beginning. The present proposal pretends to advance in this direction, in which also more general metrics than those described by the FRW metric are considered. Also, we would like to focus our investigation also in different kind of inflationary models coming from more general theories and included mechanism like warm inflation. Furthemore well as, the primordial pertubutation will be one the object under study. All these issues in the ligth of Planck 2013 and BICEP 2 results. The current accelerated expansion, consistent with some sort of exotic component (so-called “dark energy”) and modeled either by a cosmological constant or by another description (variable dark energy models), will be studied under the philosophy of building dark energy schema by using scalar-tensor theories, brane models and effective theories of gravity from more general setup. The emphasis will be put on those models from which we can obtain accelerated solutions and, if possible, to extract from them information about the intimate nature (unknown yet) of that dark component. These schema can help to visualize, among others, possible new late phantom scenarios that, if any, would be interesting of studying. The holographic philosophy (Holographic Principle) will be incorporated too in order to propose new dark energy models. We will inspect cosmologies in according with non-causal and causal models for their viscosities. These approaches will be used for describing issues from early evolution (warm inflation, for instance and entropy generation) and late evolution (acceleration without dark energy?). The key here is to compare accelerated schema from standard dark energy approaches and their equivalents from viscous dark matter models. Finally, although the current observational data is not conclusive about the future evolution (ω(z=0)~-1 and ?) we hope to give some theoretical signals on this line and so contribute to this motiving challenge. In particular, and from the theoretical point of view we are considering the general form of the action with most general coupling term between the scalar field and spacetime curvature, can be expressed as

where f and K are arbitrary functions of the corresponding variables. Obviously, the non-linear function f and K provide more general non-minimal coupling between the scalar field and gravity. Of course this new coupling modifies the usual Klein-Gordon equation, so the field equation for the scalar field is no longer a second order differential equation in this general case. Some previous results in the literature are for example: in Ref. [20] the authors used the coupling !!"!!!!!!!, and they found new analytical inflationary solutions. In Ref. [21], the couplings !!!!!!!!! and !!"!!!!!! were used and the author found one de Sitter attractor solution; Recently in Ref. [22] the equation of motion for the scalar field was found to be reducible a to second order differential equation when it is kinetically coupled to the Einstein tensor, !!"!!!!!!; and in [23] the author investigated the cosmological scenarios for this kind of coupling. In this case we are interested in the cosmological evolution of this model and the black hole solutions and their physical properties.

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I. OBJECTIVES

II. OBJECTIVES General Objectives. The plan for the present proposal is to study models for the universe in which its early evolution could be described under an appropriate theory where inflation guides our understanding of how the universe evolved from its beginning and how, after radiation and dark matter (dust) periods, it reached a phase in which the Universe presents an acceleration as observed at current times (dark energy as dominant component). We pretend with our research on theoretical cosmology to address the most compelling expectations coming from observations of the CMB, Planck, BICEP 2 and other results from other projects. This information is, of course, very relevant for guiding our theoretical task. Certainly, the theoretical demands of these programs are considerable, but we believe they can be met in the time frame proposed in this research. While the basic paradigm of inflation is clear, there are many details that need attention, spanning the range from fundamental physics research to CMB phenomenology, foreground modelling and data analysis algorithms. Additionally, late evolution is a challenging theme and the hope is that the current observational data can be a guide for building reasonable schema that can describe such evolution. In order to tackle these problems of early and late evolution, the theoretical frameworks that we will work are Einstein gravity and alternative formalisms as scalar-tensor theories among the others. Specific Objectives. Early Universe: 1.- How slow-roll inflation can be naturally embedded in a fundamental theory (such as M- theory) considering more general metrics than those universes described by the FRW metric. 2.- How non standard theories of gravity and non standard coupling between gravity and matter modify the prediction of inflationary model. 3.- Test the current paradigm of inflationary cosmology and new one from non standard gravity theories based on accurate measurements of CMB polarization, PLANCK 2013 and BICEP 2 results. Late Universe: 1.- To study different holographic schema (quantum corrections considered), among others, for dark energy. Quintom and phantom fields and the equation of state parameter ω as function of the redshift (z): variable dark energy. 2.- To study different schema of interacting dark matter-dark energy and their thermodynamics. This fact will be used for discussing the cosmic coincidence problem. 3.- To study homogeneous viscous models under non-causal (Eckart) and causal (Israel-Stewart and Maxwell-Cattaneo) scopes. The framework will be General Relativity (Einstein) and models from scalar-tensor theories, among others from more general setups. 4.- Use of observational data WMAP, Type-Ia Supernova, CMB, PLANCK 2013 and others, in order to fit the set of parameters present into the proposed cosmological models.

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Black Hole Physics, 1.- To find black hole solutions for general and modified theory of gravity. 2.- To study mecanical and stability issues for black solutions and scalar hair. 3.- To study thermodynamics and phase transitions for this configuration. 4.- Compute the geodesic structure and null geodesic for BH with scalar hair. HYPOTHESES: State the working hypotheses or research questions that will guide your research. Suggested extension: ½ page. There are several gravity schema from which we can build reasonable cosmological models. Either way, the observational data supports some of them but also rule out others. In the present proposal, we attempt to find some cosmological answers for early and late evolution having well established theories such as Einstein gravity, alternative schema (braneworld, for instance) as guides and theories based in scalar field approaches (tachyon field, inflaton field and scalar-tensor theories). Anisotropic models will be also considered on early stage evolutions. The Holographic Principle will be a guide in order to propose new candidates to describe the dark energy and the current accelerated cosmic phase. The possible role of viscosity at early (warm inflation, for instance) and late evolution (accelerated phase without dark energy) will be studied under the scope of non-causal (Eckart theory) and causal formalisms (Israel-Stewart and Maxwell-Cattaneo theories). Here, the philosophy lies on building cosmological models in order to compare standard dark energy models (holographic, quintessence and phantom, for instance) with those from considering viscous dark matter (this type of dark matter can generate late acceleration and also play some role in the early generation of entropy in the universe). Finally, the observational data will be the constraint at the time of testing our results.

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METHODOLOGY: Describe and justify your choice of method(s) you will use to achieve each of the proposed goals. Include a full description of experimental designs (quantitative or qualitative), choice of sampling procedures, use of databases, archives, methods for statistical analysis of results (if needed), etc. Suggested extension: 3 pages.

These investigations are planned to be realized in the framework of general relativity and scalar tensor gravity theories, in the context of the effective theories from higher dimensional gravity. As models arises from gravitational theories in higher dimensions provides of a new stadium of study, that allow to move from cosmological model in different stage of the evolution of the Universe and also allow to explore physics for black holes object. The other address we would like to point in this proposal is the study of associated black hole physics, in particular we planning to find solutions of these new theories and characterize physical properties as quasinormal modes, greybody factors, hawking temperature, gravitational anomaly and Hawking radiation and tunnel process.

In an effective theory in four dimensions we will assume that our Universes is isotropic and homogeneous, whose spatial section can be considered as open, flat or closed. Then we can consider that our Universe will be described by a FRW metric. The corresponding field equations, in which analytical and/or numerical solutions would be, work out. In general the resulting equation appearing in different theories under study are complicated to solve analytically, it is adequate to use numerical methods. In this case we planned to use Wolfram Mathematical 7.0, Maple soft Maple 11, Cadabra Linux Software,etc. Although, in many cases numerical methods fail or take long time of computation in order to give one result. In this case we are planning to use the dynamical systems approach as a tool in order to obtain qualitative information of our models. We can obtain information such as, attractor solutions, critical point or dynamical asymptotic behaviors. In this case we can use wolfram package or Phaser software. Also we are planning to test our models with observational data as WMAP seven year data and use statistical package analysis as tools.

On late stages. We will study different schema of dark matter-dark energy interaction. One of them will be to use different holographic approaches for dark energy; the key point will be the interaction term (Q) and its possible change of sign during the evolution. Here, the thermodynamical aspects involved will be analized and discussed in light of the second law. We will work the idea as input the interaction term (it is usual to consider Q proportional at some energy density). Under this philosophy we will study the cosmic coincidence problem. We will study viscous cosmologies in accordance to the Eckart theory (non causal scheme) and Israel-Stewart and Maxwell-Cattaneo theories (causal schemes). The key here is to use those schemes in order to try to explain the role of viscosity in early evolution (warm inflation, entropy generation, for instance) and late evolution (dark matter plus viscosity seems not to need dark energy). Cosmological scenarios from general theories and scalar-tensor will be studied in order to compare the standard description (Einstein formalism) with alternative scenarios. The choice between these schema should be clarified by the observational data. On early stages. We wish to investigate some aspects of the physics in the early universe. In order to do this, we will consider different theoretical approaches to describe the inflationary period and the following radiation and dark matter stages. The scalar field philosophy will be one of the main ingredients in this work. High curvature models (built from high power in the Ricci scalar, for instance) will be studied also (Planck 2013 results speak very well on the R + R-square model) and the idea is to discuss some sort of comparinson between those approaches. Technically speaking, in inflationary universe models the problem of describing the growth of small perturbations in the context of general relativity reduces to solving linearized Einstein equations about an expanding background. In principle, this sounds like a straightforward task. However, there are complicating issues related to the freedom of gauge, i. e., the choice of background coordinates. In this proposal we will try to develop a formalism which uses a set of variables that are independent of the background coordinates, i.e., gauge-invariant variables we will then try to find solutions of the gauge-invariant motion equations. Observationally, we have several measurable quantities, for instance, luminosity distance and angular diameter. This background will guide our research in order to build reasonable cosmological schema.

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WORK PLAN: On the basis of your stated goals, indicate the stages and describe the activities to be carried out each year of the project. Suggested extension: 1 page. If appropriate, insert a Gantt chart.

For the first two years of research concerning dark energy and black hole physics, we will investigate different scenarios of interaction between dark matter and dark energy by considering, for instance, the possibility of during evolution change of sign, of the interaction term and its thermodynamical implication in light of the second law. Different holographic schema for dark energy will be used also in order to describe the interaction with dark matter. We will put on emphasis on possible scenarios that may arise such as quintom fields (phantom divide crossing) and phantom fields (future singularities on the evolution). Although the observational data seem to rule out a possible late phantom evolution, this type of field is itself a motivating idea for exploring. The cosmic coincidence problem will be studied also under the scope of interacting fluids. Additionally, cosmological models in presence of viscosity (viscous dark matter or viscous dark energy) under non-causal (Eckart) and causal (Israel-Stewart, Maxwell-Cattaneo) descriptions will be considered in their roles for early (warm inflation, for instance) and late evolution. In order to develop our task, we will use the framework of General Relativity (Einstein) and as well as other general models such as the scalar-tensor cosmology. Also we would like to focus in the black hole solutions for different effective theories and their physical properties as Hawking radiation, tunneling and gravitational anomaly.

The last two years of research concern to the inflationary dynamic. Different models will be investigated. We will consider that the universe is spatially flat (or marginally non-flat) in agreement with astronomical observations. We will deal with the corresponding classical field equations, in which analytical and/or numerical solutions will be worked out. Inflation and the cosmological perturbations will be investigated. We will assume that the fluctuations were indeed primordial, i.e., the perturbation modes were excited at a very early epoch preceding the hot radiation dominated era. In this proposal we will develop a formalism which uses variables that are background coordinate independent, i.e., gauge-invariant variables. Also we would like to focus in the black hole solutions for different effective theories and their physical properties as Hawking radiation, tunneling and gravitational anomaly.

The research on observational constraints will be applied to our results. In order to do this we will place constraints on our dark energy and inflationary models using a compilation of observational data. These parameters will fit into with recent data coming from type-Ia supernovae, WMAP, CMB, Type-Ia Supernova, Planck 2013, among others.

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Concurso Nacional de Proyectos FONDECYT Regular 2015

Work in Progress Currently we have some advance work about these topics in different states of developed, 1.- “Higher Order Lagrangian in Cosmology; Using Pais-Uhlenbeck Oscillator”. This article will be send to Journal Astroparticles and Cosmology (JCAP). Authors; Genly León, Yoelsy Leiva, Gustavo Pulgar and Joel Saavedra. Abstract: We study higher derivative terms associated to scalar field cosmology. We considered a coupling between the scalar field and the geometry given by term of the form of Pais-Uhlenbeck oscillator. We obtain that in the parameter space there are region where the ghosts have benign or malicious behavior. Finally we did a complete dynamical systems description of the cosmological scenarios.

2.- “Hairy black holes: stability under odd-parity perturbations and existence of slowly rotating solutions”. This article was sent to Rapid Communications sections of Physical Review D. Authors; Andres Anabalon, Jiric Bicak and Joel Saavedra. Abstract: We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole or soliton solution of the Einstein theory minimally coupled to a real scalar field with a general potential is mode stable under linear odd-parity perturbations. To this end, we generalize the Regge-Wheeler equation for a generic self-interacting scalar field, and show that the potential of the relevant Schr ̈odinger operator can be mapped, by the so-called S-deformation, to a semi-positively defined potential. With these results at hand we study the existence of slowly rotating configurations. The frame dragging effect is compared with the Kerr black hole.

3.- “No stable dissipative phantom scenario in the framework of a complete cosmological dynamics”. This article will be send to Physical Review D. Authors; Norman Cruz, Samuel Lepe, Yoelsy Leiva, Francisco Peña and Joel Saavedra. Abstract: We investigate the phase space dynamics of a bulk viscosity models in the framework of spatially flat Friedmann-Robertson-Walker universe. We have included two barotropic fluids and a dark energy component. One of the barotropic fluids is treated as an imperfect fluid having bulk viscosity whereas the other components are assumed to behave as a perfect fluids. Both barotropic fluids are identified as radiation and dark matter. Considering that the bulk viscosity acts on either radiation or dark matter, we find that viscous phantom solutions with stable behavior are not allowed in the framework of complete cosmological dynamics. Only an almost zero value of the bulk viscosity allow a transition from a radiation dominated era to a matter dominated epoch and then evolve to an accelerated late time expansion, dominated by the dark energy.

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2015 FONDECYT Regular Competition

BIBLIOGRAPHIC REFERENCES: In this section, include the list of cited references in the Proposed Research section. Length: 3 pages. (Verdana font size 10, letter size is suggested).

[1] A. Guth , Phys. Rev. D 23, 347 (1981). K. Sato, Mon. Not. Roy. Astron. Soc. 195, 467 (1981). A.A. Starobinsky, Phys. Lett. B 91, 99 (1980). A.D. Linde, Phys. Lett. B 108, 389 (1982). A.D. Linde, Phys. Lett. B 129, 177 (1983). A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48,1220 (1982). For a review on inflation see, for example, M. S. Turner, in Fundamental Interactions and Cosmology, Proceedings of the Cargèse Summer School, Cargèse, France, 1984, ed. by J. Audouze and J. Tran Thanh Van (Editions Frontiers, Gif-sur-Yvette, 1985). R. Branderberge, ‘‘Quantum Field Theory Methods And Inflationary Universe Models’’, Rev. Mod. Phys. 57 1 (1985). K. A. Olive, ‘‘Inflation’’, Phys. Rept. 190 307 (1990). A. D. Linde, Particle Physics and Inflationary Cosmology (Gordon and Breach, New York, 1990). . D. Lyth and A. Riotto, ‘‘Particle physics models of inflation and the cosmological density perturbation’’, Phys. Rept. 314 1 (1999). [2] P. de Bernardis, P. A. R. Ade, J. J .Bock, J. R. Bond, J. Borrill, A. Boscaleri, K. Coble, B. P. Crill, G. De Gasperis, P. C. Farese, P. G. Ferreira, K. Ganga, M. Giacometti, E. Hivon, V. V. Hristov, A. Iacoangeli, A. H. Jaffe, A. E. Lange, L. Martinis, S. Masi, P. Mason, P. D. Mauskopf, A. Melchiorri, L. Miglio, T. Montroy, C. B. Netterfield, E. Pascale, F. Piacentini, D. Pogosyan, S. Prunet, S. Rao, G. Romeo, J. E. Ruh, F. Scaramuzzi, D. Sforna and N. Vittorio, “A flat universe from high resolution maps of the cosmic microwave background radiation”. Nature 404 955 (2000). [3] S. Hanany, P. Ade3, A. Balbi, J. Bock, J. Borrill, A. Boscaleri, P. de Bernardis, P. G. Ferreira, V. V. Hristov, A. H. Jaffe, A. E. Lange, A. T. Lee, P. D. Mauskopf, C. B. Netterfield, S. Oh, E. Pascale, B. Rabii, P. L. Richards, G. F. Smoot, R. Stompor, C. D. Winant and J. H. P. Wu, ‘‘MAXIMA-1: A Measurement of the cosmic microwave background anisotropy on angular scales of 10 arcminutes to 5 degrees’’. Astrophys. J. 545 L5 (2000). [4] http://www.map.gsfc.nasa.gov/. J. Dunkley et al. [WMAP Collaboration], Astrophys. J. Suppl. 180 306 (2009). B. Gold et al [WMAP Collaboration], “Five-Year Wilkinson Microwave Anisotropy Probe (\WMAP\altaffilmark 1) Observations: Galactic Foreground Emission”, Astrophys. J. Suppl. 180 265 (2009). E. L. Wright et al. [WMAP Collaboration], “The Wilkinson Microwave Anisotropy Probe (WMAP) Source Catalogue'', Astrophys. J.\ Suppl. 180 283 (2009). [5] Planck 2013 results. XXI. Constraints on inflation, arXiv : 1303.5082. Planck 2013 results. XVI. Cosmological parameters, arXiv: 1303.507. Yun Wang and Shuang Wang, “Distance Priors from Planck and Dark Energy Constraints from Current Data”, arXiv: 1304.4514. [6] P. A. R. Ade et al. [BICEP2 Collaboration], “BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales”, arXiv:1403.3985 [astro-ph.CO].P. A. R. Ade et al.[BICEP2 Collaboration], “BICEP2 II: Experiment and Three-Year Data Set”, arXiv:1403.4302 [astro-ph.CO].

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2015 FONDECYT Regular Competition

[7] A. D. Linde, “Chaotic inflation”, Phys. Lett. B 129 177 (1983). A. D. Linde, “Hybrid inflation”, Phys. Rev. D 49 748 (1994). D. La and P.J. Steinhardt, “Extended inflationary cosmology”. Phys. Rev. Lett. 62 376 (1989). A. D. Linde, “Extended chaotic inflation and spatial variations of the gravitational constant”, Phys. Lett. B 238 160 (1990). P. J. Steinhardt and F. S. Accetta, “Hyperextended inflation”. Phys. Rev. Lett. 64 2740 (1990). F. S. Accetta and P. J. Steinhardt, “New approaches for inflationary cosmology”, Gen. Rel. Grav. 23 1 (1991). J. D. Barrow and M. S. Turner, “Inflation in the universe”, Nature 298 35 (1981). G. Steigman and G. F. R. Ellis, “Inflation in a shear or curvature dominated universe”, Phys. Lett. B 128 295 (1983). I. Moss and V. Sahni, “Anisotropy in the chaotic inflationary universe”, Phys. Lett. B 178 159 (1986). N. Barnaby et al, “p-adic inflation”, JHEP 0704 (2007) 056. H. Farajollahi and A. Ravanpak, “Tachyon field in intermediate inflation on the brane”, Phys. Rev. D 84 (2011) 084017. Xiao-Min Zhang and Jian-Yang Zhu, “Warm inflation in loop quantum cosmology: a model with a general dissipative coefficient”, Phys. Rev. D 87 (2013) 043522. S. del Campo, R. Herrera and J. Saavedra, “Tachyon warm inflationary universe model in the weak dissipative regime”, Eur. Phys. J. C 59 913 (2009).

S. del Campo, R. Herrera, P. Labraña, C. Leiva and J. Saavedra, Tachyonic universes in patch cosmologies with Omega>1, Mod. Phys. Lett. A 24 (2009) 2445-2458. L. Balart, S. del Campo, R. Herrera, P. Labraña and J. Saavedra, Tachyonic open inflationary universes, Phys. Lett. B 647 (2007) 313-319. [8] W. Hu, N. Sugiyama, J. Silk. ‘‘The Physics of microwave background anisotropies’’. Nature, 386 37-43 (1997). [9] J. Bond, G. Efstathiou and M. Tegmark, ‘‘Forecasting cosmic parameter errors from microwave background anisotropy experiments’’ Mon. Not. Roy. Astron. Soc. 291 L33 (1997). [10] G. Riess et al, “Observational evidence from supernovae for an accelerating universe and a cosmological constant”.[Supernova Cosmology Project Collaboration] Astrophys. J. 116 1009 (1998). [11] S. Perlmutter et al, ‘‘Measurements of omega and lambda from 42 high redshift supernovae’’, Astrophys. J. 517 565 (1999). [12] S. Weinberg, “The cosmological constant problem”. Rev. Mod. Phys. 61 1 (1989). Joan Solá, “Cosmological constant and vacuum energy: old and new ideas”, arXiv: 1306.1527. [13] S. Weinberg, ‘‘Anthropic bound on the cosmological constant’’ Phys. Rev. Lett. 59 2607 (1987). A. Vilenkin, “Anthropic predictions: The Case of the cosmological constant”, published in Universe or Multiverse?, Edited by B.J. Carr. Cambridge University Press, Cambridge. In *Carr, Bernard (ed.): Universe or multiverse? 163 (2007). A. Vilenkin, “Anthropic approach to the cosmological constant problems”, Int. J. Theor. Phys. 42 1193 (2003). [14] B. Ratra and P. J. E. Peebles, ‘‘Cosmological Consequences of a Rolling Homogeneous Scalar Field’’ Phys. Rev. D 37, 3406 (1988). A. Vilenkin, “Cosmological Density Fluctuations Produced by a Goldstone Field”, Phys. Rev. Lett. 48 591(982). C. Wetterich, ‘‘The Cosmon model for an asymptotically vanishing time dependent cosmological 'constant'’’Astron. Astrophys. 301 321 (1995). R. Caldwell, R. Dave and P. J. Steinhardt, ‘‘Cosmological imprint of an energy component with general equation of state’’, Phys. Rev. Lett. 80 1582 (1998). [15] C. A. Egan and C. H. Lineweaver, Phys. Rev. D 78 083528 (2008). H. C. Kim, J. W. Lee and J. Lee, Phys. Lett. B 661, 67 (2008). Sadjadi and M. Alimohammadi, Phys. Rev. D 74 103007 (2006). W. Zimdahl and D. Pavón, Class. Quant. Grav. 24 (2007) 5461. [16] P.J. Steinhardt, L. Wang and L. Zlatev, Phys. Rev. D 59 123504 (1999). [17] P.J. Steinhardt, in Critical Problems in Physics, edited by V.L. Fitch and and D.R. Marlow, (Princeton University Press, Princeton, NJ, 1997). W. Zimdahl, D. Pavón and L. P. Chimento, Phys. Lett. B 521 133 (2001).

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[18] P. Billyard and A. A. Coley, Phys. Rev D 61, 083503 (2000). G. R. Farrar and P. J. E. Peebles, Astrophys. J. 604, 1 (2004). L.P. Chimento, A.S. Jakubi, D. Pavón and W. Zimdahl, Phys. Rev. D 67 083513 (2003). G. Olivares, F. Atrio-Barandela and D. Pavón, Phys. Rev. D 77 063513 (2008). [19] P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 559 (2003). B. Ratra and P. J. E. Peebles, Phy. Rev. D 37 3406 (1988). M. S. Turner and M. White, Phy. Rev. D 56, R4439 (1997). Caldwell et al, Phy. Rev. Lett. 80 1582 (1998). A. R. Liddle and R. J. Scherrer, Phy. Rev. D 59 023509 (1999). P. J. Steinhardt et al., Phy. Rev. D 59 123504 (1999). [20] L. Amendola, “Cosmology with nonminimal derivative couplings”, Phys. Lett. B 301, 175 (1993). [21] S. Capozziello, G. Lambiase and H. J. Schmidt, “Nonminimal derivative couplings and inflation in generalized theories of gravity'' Annalen Phys. 9, 39 (2000). [22] S.V. Sushkov, “Exact cosmological solutions with nonminimal derivative coupling” Phys. Rev. D 80, 103505 (2009). [23] E. N. Saridakis and S. V. Sushkov, “Quintessence and phantom cosmology with non-minimal derivative coupling”, Phys. Rev. D 81, 083510 (2010).

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Researcher Activities and Time Committment to the ProposalDescribe the activities you will carry out each year.

Name joel francisco saavedra alvear

Year/Hours per Week Year 1 - 20 HoursYear 2 - 20 HoursYear 3 - 20 HoursYear 4 - 20 Hours

Functions proposición, estudio de modelos cosmológicos alternativos a la gravedad de Einstein. Además decalculo y simulación de los modelos presentados. Tareas propias de un investigador en físicateórica.

Name samuel lepe

Year/Hours per Week Year 1 - 15 HoursYear 2 - 15 HoursYear 3 - 15 HoursYear 4 - 15 Hours

Functions calculo y estudios de modelos cosmológicos y física de agujeros negros

Name ramon herrera

Year/Hours per Week Year 1 - 5 HoursYear 2 - 5 HoursYear 3 - 5 HoursYear 4 - 5 Hours

Functions estudios y evaluación de modelos cosmológicos del universo temprano y tardío

Name andres anabalon

Year/Hours per Week Year 1 - 5 HoursYear 2 - 5 HoursYear 3 - 5 HoursYear 4 - 5 Hours

Functions calculo de soluciones exactas de agujeros negros con pelo y modelos alternativos de la gravedadde Einstein

Page 21: 1150183 Joel Saavedra

Curriculum VitaePERSONAL BACKGROUND

Name: Joel Francisco Saavedra AlvearFecha de Nacimiento: October 3, 1970Nationality: CHILEGender: Male

CONTACT INFORMATIONE-Mail: [email protected]: 56322273444Address for correspondence: Work address

Work address

Address: avenida brasil 2950Country: CHILERegion: Región de ValparaísoMunicipality: VALPARAÍSOPostal code:

ACADEMIC BACKGROUND

Academic degrees

Degree type: BachelorName of program: LICENCIADO EN FISICA APLICADAInstitution: UNIVERSIDAD DE SANTIAGO DE CHILECountry of Studies: CHILEYear awarded:

Degree type: Doctorate/PhDName of program: DOCTOR EN FISICAInstitution: UNIVERSIDAD DE SANTIAGO DE CHILECountry of Studies: CHILEYear awarded:

Research Lines

1. Gravitación2. Cosmología3. Sistemas Dinámicos

Primary Field of your Research Line

Physical & Natural Sciences / Astronomy, Cosmology and Particles / General Relativity & Cosmology

Jerarquías Académicas

Page 22: 1150183 Joel Saavedra

Current academic appointment: Profesor TitularInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

Current academic appointment: Director Instituto de FísicaInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

Current academic appointment: profesor de Planta, Jerarquía Adjunto, Instituto de FísicaInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

Current academic appointment: Profesor Asociado, Instituto de FísicaInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

Current academic appointment: Investigador Postdoctorado FONDECYT, Grupo Astrofísica Gravitación yCosmologíaInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

Current academic appointment: Profesor Titular, Jornada CompletaInstitution: ACADEMIA POLITECNICA MILITARWeekly hours commitment: 44

Current academic appointment: Académico Jornada Parcial, Dpto. FísicaInstitution: UNIVERSIDAD DE SANTIAGO DE CHILEWeekly hours commitment: 22

Current academic appointment: Contrato Honorarios, Dpto. de IndustriasInstitution: UNIVERSIDAD DE SANTIAGO DE CHILEWeekly hours commitment: 14

Current academic appointment: Profesor Titular, Jornada ParcialInstitution: UNIVERSIDAD ADOLFO IBANEZWeekly hours commitment: 22

PRODUCTION AND OTHER BACKGROUND

Participation in CONICYT Funded Projects

Program: FONDECYTProject Number: 1110076Title: Cosmological Evolution and Black Holes Physics From Higher Dimensional GravityRol in project: Principal InvestigatorBegin Year: 2011End Year: 2015

Program: FONDECYT

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Project Number: 7080205Title: Brane World Cosmological ModelsRol in project: Principal InvestigatorBegin Year: 2008End Year: 2009

Program: FONDECYTProject Number: 11060515Title: Brane World cosmological ModelsRol in project: Principal InvestigatorBegin Year: 2006End Year: 2009

Program: FONDECYTProject Number: 1110230Title: Cosmological phases in the evolution of the UniverseRol in project: CoinvestigatorBegin Year: 2011End Year: 2015

Program: FONDECYTProject Number: 1090613Title: INFLATION AND REHEATING OF THE UNIVERSERol in project: CoinvestigatorBegin Year: 2009End Year: 2013

Program: FONDECYTProject Number: 3140244Title: ESCENARIOS GRAVITACIONALES MODIFICADOS Y SUS IMPLICANCIAS COSMOLOGICASRol in project: Sponsor InvestigatorBegin Year: 2013End Year: 2016

Program: PAIProject Number: 80120030Title: “Fortalecimiento Red de Física de Altas Energías, Módulo gravitación y cosmología PUCV-UAI-Université ParisDiderot-Paris 7”Rol in project: Sponsor InvestigatorBegin Year: 2013End Year: 2013

Program: PAIProject Number: 80130048Title: “Red de Física de Altas Energías, Modulo Gravitación y Cosmología PUCV-UAI-Prague Relativity”Rol in project: Sponsor InvestigatorBegin Year: 2014End Year: 2014

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Publications in journals

Author(s): Sergio del Campo, Carlos R. Fadragas, Ramon Herrera, Carlos Leiva, Genly Leon, Joel Saavedra.Corresponding Author(s): Saavedra JoelTitle: Thawing models in the presence of a Generalized Chaplygin GasJournal: Physical Review DYear: 2013Publication status: PublishedBegin page: 1End Page: 16Index: ISIDOI/URL: arXiv:1303.5779

Author(s): Genly Leon, Joel Saavedra and Emanuel SaridakisTitle: Cosmological behavior in extended nonlinear massive gravityJournal: Classical and Quantum GravityYear: 2013Publication status: PublishedBegin page: 1End Page: 42Index: ISIDOI/URL: arXiv:1301.7419

Author(s): P.A. González , Eleftherios Papantonopoulos , Joel Saavedra, Yerko VásquezCorresponding Author(s): Saavedra JoelTitle: Four-Dimensional Asymptotically AdS Black Holes with Scalar HairJournal: JHEPYear: 2013Publication status: PublishedBegin page: 21End Page: 41Index: ISI

Author(s):Title: MOTION OF CHARGED PARTICLES ON THE REISSNER-NORDSTROM (ANTI)-DE SITTER BLACK HOLESPACETIMEJournal: MODERN PHYSICS LETTERS AYear: 2011Publication status: PublishedBegin page: 2923End Page: 2950Index: ISI

Author(s):Title: Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factorsJournal: JOURNAL OF HIGH ENERGY PHYSICSYear: 2010Publication status: Published

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Begin page: 50End Page: 60Index: ISI

Author(s):Title: Greybody factors for topological massless black holesJournal: JOURNAL OF HIGH ENERGY PHYSICSYear: 2010Publication status: PublishedBegin page: 60End Page: 70Index: ISI

Author(s):Title: Curvaton reheating in a logamediate inflationary modelJournal: PHYSICAL REVIEW DYear: 2009Publication status: PublishedBegin page: 123531End Page: 123541Index: ISI

Author(s):Title: GEODESIC STRUCTURE OF THE SCHWARZSCHILD BLACK HOLE IN RAINBOW GRAVITYJournal: MODERN PHYSICS LETTERS AYear: 2009Publication status: PublishedBegin page: 1443End Page: 1451Index: ISI

Author(s):Title: Effective gravitational equations on brane world with induced gravity described by f(R) termJournal: JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICSYear: 2009Publication status: PublishedBegin page: 13End Page: 28Index: ISI

Author(s):Title: Tachyon warm-inflationary universe model in the weakly dissipative regimeJournal: EDP SciencesYear: 2009Publication status: PublishedBegin page: 913End Page: 916Index: Scopus

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Thesis supervision

Number of Licenciatura/Bachillerato/Bachelor Thesis supervised: 5Number of Magíster/Master/DEA Thesis supervised: 2Number of Doctorate/PhD Thesis supervised: 5

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Page 27: 1150183 Joel Saavedra

Curriculum VitaePERSONAL BACKGROUND

Name: Samuel Lepe Santa CruzFecha de Nacimiento: July 28, 1951Nationality: CHILEGender: Male

CONTACT INFORMATIONE-Mail: [email protected]: 56322274884Address for correspondence: Work address

Work address

Address: Avenida Brasil 2950Country: CHILERegion: Región de ValparaísoMunicipality: VALPARAÍSOPostal code:

ACADEMIC BACKGROUND

Academic degrees

Degree type: Doctorate/PhDName of program: Doctor en FísicaInstitution: UNIVERSIDAD DE SANTIAGO DE CHILECountry of Studies: CHILEYear awarded: 2002

Research Lines

1. Gravitacion2. cosmología3.

Primary Field of your Research Line

Physical & Natural Sciences / Astronomy, Cosmology and Particles / General Relativity & Cosmology

Jerarquías Académicas

Current academic appointment: AdjuntoInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

PRODUCTION AND OTHER BACKGROUND

Page 28: 1150183 Joel Saavedra

Participation in CONICYT Funded Projects

Program: FONDECYTProject Number: 1040229Title: DARK ENERGY, ANISOTROPY, LOWER DIMENSIONS AND THE HOLOGRAPHIC PRINCIPLERol in project: CoinvestigatorBegin Year: 2004End Year: 2008

Program: FONDECYTProject Number: 1110076Title: COSMOLOGICAL EVOLUTION AND BLACK HOLES PHYSICS FROM HIGHER DIMENSIONAL GRAVITYRol in project: CoinvestigatorBegin Year: 2011End Year: 2015

Publications in journals

Author(s): Samuel Lepe; Francisco PeñaTitle: Sign of the amount of nonconservation energy in entropic cosmologyJournal: Astrophysical Space SciencesYear: 2014Publication status: PublishedBegin page: 401End Page: 406Index: ISI

Author(s): Samuel Lepe; Joel SaavedraTitle: On Horava-Lifshitz cosmology

Journal: Astrophysical Space SciencesYear: 2014Publication status: PublishedBegin page: 839End Page: 843Index: ISI

Author(s): Norman Cruz; Samuel Lepe, Francisco PeñaTitle: Holographic Dark Energy in the DGP modelJournal: European Physical Journal CYear: 2012Publication status: PublishedBegin page: 2162End Page: 2172Index: ISI

Author(s): Samuel Lepe; Javier Lorca; Francisco Peña; Yerko VasquezTitle: Scalar field scattering by a Lifshitz black hole under a non-minimal coupling

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Journal: Physical Review DYear: 2012Publication status: PublishedBegin page: 1End Page: 8Index: ISI

Author(s): Cruz, N; Lepe S.; Pena, FCorresponding Author(s): Cruz, N (reprint author), Univ Santiago, Fac Ciencia, Dept Fis, Casilla 307, Santiago,Chile.Title: Dark energy interacting with dark matter and a third fluid: Possible EoS for this componentJournal: PHYSICS LETTERS BYear: 2011Publication status: PublishedBegin page: 135End Page: 140Index: ISIDOI/URL: http://dx.doi.org/10.1016/j.physletb.2011.03.049

Author(s): Lepe S.; Lorca J.; Pena, F; Vasquez, YTitle: FERMIONIC AND SCALAR FIELDS AS SOURCES OF INTERACTING DARK MATTER-DARK ENERGYJournal: INTERNATIONAL JOURNAL OF MODERN PHYSICS DYear: 2011Publication status: PublishedBegin page: 2543End Page: 2558Index: ISIDOI/URL: http://dx.doi.org/10.1142/S0218271811020500

Author(s): Lepe S.; Pena, FCorresponding Author(s): Lepe, S (reprint author), Pontificia Univ Catolica Valparaiso, Inst Fis, Fac Ciencias, Casilla4059, Valparaiso, Chile.Title: Crossing the phantom divide with Ricci-like holographic dark energyJournal: EUROPEAN PHYSICAL JOURNAL CYear: 2010Publication status: PublishedBegin page: 575End Page: 579Index: ISIDOI/URL: http://dx.doi.org/10.1140/epjc/s10052-010-1427-y

Author(s): Becar, R; Lepe S.; Saavedra, JTitle: DECAY OF DIRAC FIELDS IN THE BACKGROUNDS OF DILATONIC BLACK HOLESJournal: INTERNATIONAL JOURNAL OF MODERN PHYSICS AYear: 2010Publication status: PublishedBegin page: 1713End Page: 1723

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Index: ISIDOI/URL: http://dx.doi.org/10.1142/S0217751X10048275

Author(s): Cruz, N; Lepe S.; Pena, F; Saavedra, JCorresponding Author(s): Cruz, N (reprint author), Univ Santiago Chile, Dept Fis, Fac Ciencia, Casilla 307,Santiago, Chile.Title: Bare and effective fluid description in brane world cosmologyJournal: EUROPEAN PHYSICAL JOURNAL CYear: 2010Publication status: PublishedBegin page: 289End Page: 293Index: ISIDOI/URL: http://dx.doi.org/10.1140/epjc/s10052-009-1226-5

Author(s): Lepe S.; Saavedra, J; Pena, FCorresponding Author(s): Saavedra, J (reprint author), Pontificia Univ Catolica Valparaiso, Inst Fis, Casilla 4950,Valparaiso, Chile.Title: Holographic cosmological models on the braneworldJournal: PHYSICS LETTERS BYear: 2009Publication status: PublishedBegin page: 323End Page: 326Index: ISIDOI/URL: http://dx.doi.org/10.1016/j.physletb.2008.12.048

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Page 31: 1150183 Joel Saavedra

Curriculum VitaePERSONAL BACKGROUND

Name: Ramon Alejandro Herrera ApablazaFecha de Nacimiento: November 28, 1965Nationality: CHILEGender: Male

CONTACT INFORMATIONE-Mail: [email protected]: 56322273000Address for correspondence: Home address

Work address

Address: Avenida Brasil 2950Country: CHILERegion: Región de ValparaísoMunicipality: VALPARAÍSOPostal code:

ACADEMIC BACKGROUND

Academic degrees

Degree type: Doctorate/PhDName of program: doctorado en físicaInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOCountry of Studies: CHILEYear awarded: 2004

Research Lines

1. Cosmología2. Gravitación3.

Primary Field of your Research Line

Physical & Natural Sciences / Astronomy, Cosmology and Particles / General Relativity & Cosmology

Jerarquías Académicas

Current academic appointment: Profesor AdjuntoInstitution: PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOWeekly hours commitment: 44

PRODUCTION AND OTHER BACKGROUND

Page 32: 1150183 Joel Saavedra

Participation in CONICYT Funded Projects

Program: FONDECYTProject Number: 1090613Title: INFLATION AND REHEATING OF THE UNIVERSERol in project: Principal InvestigatorBegin Year: 2009End Year: 2013

Program: FONDECYTProject Number: 1110230Title: COSMOLOGICAL PHASES IN THE EVOLUTION OF THE UN UNIVERSE.Rol in project: CoinvestigatorBegin Year: 2011End Year: 2015

Program: FONDECYTProject Number: 1130628Title: INFLATION AND DARK ENERGYRol in project: Principal InvestigatorBegin Year: 2013End Year: 2017

Publications in journals

Author(s): Herrera Ramon, Olivares Marco and Videla NelsonTitle: Warm logamediate inflationary universe modelJournal: Int. J. Mod. Phys. DPublication status: AcceptedIndex: ISI

Author(s): del Campo S, Guendelman E, Kaganovish A, Herrera R, Labraña P.Title: Emergent Universe from scale invariant two measures theoryJournal: Phys.Lett. B699 (2011) 211-216Publication status: AcceptedIndex: ISI

Author(s): del Campo S, Fabris J, Herrera R. and ZimdahlTitle: On holographic dark-energy modelJournal: Phys.Rev. D83 (2011) 123006Publication status: AcceptedIndex: ISI

Author(s): del Campo, Herrera R., Pavon D, Villanueva J.Title: On the consistency of warm inflation in the presence of viscosityJournal: JCAP 1008 (2010) 002Publication status: AcceptedIndex: ISI

Page 33: 1150183 Joel Saavedra

Author(s): Herrera R.Title: Warm inflationary model in loop quantum cosmologyJournal: Phys.Rev. D81 (2010) 123511Publication status: AcceptedIndex: ISI

Author(s): R. Herrera and N. VidelaTitle: Intermediate inflation in Gauss Bonnet braneworld.Journal: Eur. Phys. J. C67 (2010) 499Publication status: AcceptedIndex: ISI

Author(s): S. del Campo, R. Herrera, J. Saavedra, C. Campuzano and E. RojasTitle: Curvaton reheating in logamediate inflationary modelJournal: Phys. Rev. D80, (2009) 123531Publication status: AcceptedIndex: ISI

Author(s): S. del Campo, R. Herrera and P. LabranaTitle: On the stability of Jordan- Brans -Dicke static universeJournal: JCAP 0907 (2009) 006Publication status: AcceptedIndex: ISI

Author(s): S. del Campo, R. Herrera and A. TolozaTitle: Tachyon field in intermediate inflationJournal: Phys. Rev. D79, (2009) 083507Publication status: AcceptedIndex: ISI

Author(s): S. del Campo, R. Herrera and D. PavonTitle: Interacting models may be key to solve the cosmic coincidence problemJournal: JCAP 0901, (2009) 020Publication status: AcceptedIndex: ISI

Thesis supervision

Number of Licenciatura/Bachillerato/Bachelor Thesis supervised: 2

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Curriculum VitaePERSONAL BACKGROUND

Name: Andres AnabalonFecha de Nacimiento: May 8, 1979Nationality: CHILEGender: Male

CONTACT INFORMATIONE-Mail: [email protected]: 322503845Address for correspondence: Home address

Work address

Address: Av Padre Hurtado 750Country: CHILERegion: Región de ValparaísoMunicipality: VIÑA DEL MARPostal code: 2520000

ACADEMIC BACKGROUND

Professional Titles

Title: INGENIERO FISICOInstitution: Universidad de SantiagoCountry of Studies: CHILEAño de Titulación: 2020

Academic degrees

Degree type: BachelorName of program: LICENCIADO EN FISICAInstitution: UNIVERSIDAD DE SANTIAGO DE CHILECountry of Studies: CHILEYear awarded: 2004

Degree type: Doctorate/PhDName of program: DOCTOR EN FISICAInstitution: UNIVERSIDAD DE CONCEPCIONCountry of Studies: CHILEYear awarded: 2007

Research Lines

1. Teorias de gauge-Relatividad General - Supergravedad

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2. Agujeros Negros3. Soluciones Exactas

Primary Field of your Research Line

Physical & Natural Sciences / Physics

Jerarquías Académicas

Current academic appointment: Assistant ProfessorInstitution: UNIVERSIDAD ADOLFO IBANEZWeekly hours commitment: 44

PRODUCTION AND OTHER BACKGROUND

Participation in CONICYT Funded Projects

Program: FONDECYTProject Number: 1141073Title: GENERAL RELATIVITY AND ITS EXTENSIONS: EXACT SOLUTIONS, STABILITY AND SYMMETRIESRol in project: CoinvestigatorBegin Year: 2014End Year: 2018

Program: FONDECYTProject Number: 3080024Title: A TOPOLOGICAL ORIGIN FOR SUPERGRAVITYRol in project: Principal InvestigatorBegin Year: 2007End Year: 2009

Program: FONDECYTProject Number: 3130679Title: QUANTUM FEATURES OF A NEW CLASS OF GRAVITATIONAL ACTIONRol in project: Sponsor InvestigatorBegin Year: 2012End Year: 2015

Program: FONDECYTProject Number: 11121187Title: EXACT ASPECTS OF GRAVITY.Rol in project: Principal InvestigatorBegin Year: 2012End Year: 2015

Program: BECASProject Number: 21040053Title: Doctorado en Cs. FísicasRol in project: Principal InvestigatorBegin Year: 2004

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End Year: 2008

Program: PAIProject Number: 80120030Title: Fortalecimiento Red de Física de Altas Energías, Módulo gravitación y cosmología PUCV-UAI-Université ParisDiderot-Paris 7Rol in project: InvestigatorBegin Year: 2013End Year: 2013

Program: PAIProject Number: 80130048Title: Red de Física de Altas Energías, Modulo Gravitación y Cosmología PUCV-UAI-Prague RelativityRol in project: InvestigatorBegin Year: 2014End Year: 2029

Participation in Projects Funded from other National and/or International Agencies

Title: Solutions exactes en présence de champ scalaireFunding agency: CNRSRol in project: Principal InvestigatorBegin Year: 2013End Year: 2013

Publications in journals

Author(s): Andrés Aceña; Andrés Anabalón; Dumitru Astefanesei; Robert MannTitle: Hairy planar black holes in higher dimensionsJournal: Journal of High Energy PhysicsYear: 2014Publication status: PublishedBegin page: 1201415301End Page: 1201415320Index: ISIDOI/URL: http://dx.doi.org/10.1007/JHEP01(2014)153

Author(s): Acena, A; Anabalon, A; Astefanesei, DTitle: Exact hairy black brane solutions in 5D anti-de Sitter space and holographic renormalization group flowsJournal: PHYSICAL REVIEW DYear: 2013Publication status: PublishedBegin page: 12403301End Page: 12403310Index: ISIDOI/URL: http://dx.doi.org/10.1103/PhysRevD.87.124033

Author(s): Anabalon, A; Astefanesei, D; Mann, RCorresponding Author(s): Anabalon, A (reprint author), Univ Adolfo Ibanez, Fac Artes Liberales, Dept Ciencias, Vina

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Del Mar, Chile.Title: Exact asymptotically flat charged hairy black holes with a dilaton potentialJournal: JOURNAL OF HIGH ENERGY PHYSICSYear: 2013Publication status: PublishedBegin page: 18401End Page: 18418Index: ISIDOI/URL: http://dx.doi.org/10.1007/JHEP10(2013)184

Author(s): Andrés AnabalónTitle: Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4Journal: Journal of High Energy PhysicsYear: 2012Publication status: PublishedBegin page: 12701End Page: 12717Index: ISIDOI/URL: http://dx.doi.org/10.1007/JHEP06(2012)127

Author(s): Andrés Anabalón; Adolfo CisternaTitle: Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in FourDimensionsJournal: Physical Review DYear: 2012Publication status: PublishedBegin page: 840351End Page: 840356Index: ISIDOI/URL: http://dx.doi.org/10.1103/PhysRevD.85.084035

Author(s): Andres Anabalon; Fabrizio Canfora; Alex Giacomini; Julio OlivaTitle: Black Holes with Primary Hair in gauged N=8 SupergravityJournal: Journal of High Energy PhysicsYear: 2012Publication status: PublishedBegin page: 2147483647End Page: 2147483647Index: ISIDOI/URL: http://dx.doi.org/10.1007/JHEP06(2012)010

Author(s):Title: Exact Hairy Black Holes and their Modification to the Universal Law of GravitationJournal: PHYSICAL REVIEW DYear: 2012Publication status: PublishedBegin page: 1075011End Page: 1075016

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Index: ISI

Author(s): Anabalon, A; Canfora, F; Giacomini, A; Oliva, JTitle: Black holes with gravitational hair in higher dimensionsJournal: PHYSICAL REVIEW DYear: 2011Publication status: PublishedBegin page:End Page:Index: ISIDOI/URL: http://dx.doi.org/10.1103/PhysRevD.84.084015

Author(s): Anabalon, A; Maeda, HTitle: New charged black holes with conformal scalar hairJournal: PHYSICAL REVIEW DYear: 2010Publication status: PublishedBegin page:End Page:Index: ISIDOI/URL: http://dx.doi.org/10.1103/PhysRevD.81.041501

Author(s): Anabalon, A; Deruelle, N; Morisawa Y.; Oliva, J; Sasaki, M; Tempo, D; Troncoso, RTitle: Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: an exact vacuum solution in five dimensionsJournal: CLASSICAL AND QUANTUM GRAVITYYear: 2009Publication status: PublishedBegin page:End Page:Index: ISIDOI/URL: http://dx.doi.org/10.1088/0264-9381/26/6/065002

Thesis supervision

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Amounts and Justification of Funds Requested from FONDECYT.Resources requested for the Performing Unit (1000 CLP$).

Institution PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO / FACULTAD DE CIENCIASBASICAS Y MATEMATICAS / INSTITUTO DE FISICA

Representative Name JOEL FRANCISCO SAAVEDRA ALVEAR

Email [email protected]

Phone

Staff Year 1 Year 2 Year 3 Year 4 Total

Principal Investigator:joel saavedra

5,000 5,000 5,000 5,000 20,000

Coinvestigator:samuel lepe

4,000 4,000 4,000 4,000 16,000

Coinvestigator:ramon herrera

0 0 0 0 0

Thesis-Students 3,600 3,600 3,600 3,600 14,400

Technical & Support Staff 2,000 2,000 2,000 2,000 8,000

Total 14,600 14,600 14,600 14,600 58,400

Proposal Travel Year 1 Year 2 Year 3 Year 4 Total

Domestic Per Diem 3,000 3,000 3,000 3,000 12,000

Total International Per Diem 4,500 4,500 4,500 4,500 18,000

Total Domestic Fares 1,000 1,000 1,000 1,000 4,000

Total International Fares 4,500 4,500 4,500 4,500 18,000

Total 13,000 13,000 13,000 13,000 52,000

International CooperationTravel

Year 1 Year 2 Year 3 Year 4 Total

Total Domestic Per Diem 1,800 1,800 1,800 1,800 7,200

Total International Fares 1,200 1,200 1,200 1,200 4,800

Total 3,000 3,000 3,000 3,000 12,000

Operational Expenses Year 1 Year 2 Year 3 Year 4 Total

Operational Expenses 6,000 6,000 6,000 6,000 24,000

Total 6,000 6,000 6,000 6,000 24,000

Equipment(Qty * 1000 CLP$)(Qty * 1000 CLP$)(Qty * 1000 CLP$)(Qty * 1000 CLP$)

Year 1 Year 2 Year 3 Year 4 Total

Computadores Mac Pro 1 * 2,500 1 * 2,500 0 * 0 0 * 0 5,000

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Mac Book Air or similar 1 * 2,500 0 * 0 0 * 0 0 * 0 2,500

Impresora color 1 * 1,000 0 * 0 0 * 0 0 * 0 1,000

Projector 0 * 0 1 * 1,000 0 * 0 0 * 0 1,000

Total 6,000 3,500 0 0 9,500

Budget Breakdown Year 1 Year 2 Year 3 Year 4 Total

Total 42,600 40,100 36,600 36,600 155,900

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Institution UNIVERSIDAD ADOLFO IBANEZ / FACULTAD DE ARTES LIBERALES /DEPARTAMENTO DE CIENCIAS

Representative Name FERNANDO ERBETTA DOYHARCABAL

Email [email protected]

Phone

Staff Year 1 Year 2 Year 3 Year 4 Total

Principal Investigator 0 0 0 0 0

Coinvestigator:andres anabalon

1,000 1,000 1,000 1,000 4,000

Thesis-Students 1,800 1,800 1,800 1,800 7,200

Technical & Support Staff 0 0 0 0 0

Total 2,800 2,800 2,800 2,800 11,200

Proposal Travel Year 1 Year 2 Year 3 Year 4 Total

Domestic Per Diem 1,000 1,000 1,000 1,000 4,000

Total International Per Diem 1,500 1,500 1,500 1,500 6,000

Total Domestic Fares 500 500 500 500 2,000

Total International Fares 1,000 1,000 1,000 1,000 4,000

Total 4,000 4,000 4,000 4,000 16,000

International CooperationTravel

Year 1 Year 2 Year 3 Year 4 Total

Total Domestic Per Diem 0 0 0 0 0

Total International Fares 0 0 0 0 0

Total 0 0 0 0 0

Operational Expenses Year 1 Year 2 Year 3 Year 4 Total

Operational Expenses 500 500 500 500 2,000

Total 500 500 500 500 2,000

Equipment(Qty * 1000 CLP$)

Year 1 Year 2 Year 3 Year 4 Total

mac book air o similar 0 * 0 1 * 2,500 0 * 0 0 * 0 2,500

Total 0 2,500 0 0 2,500

Budget Breakdown Year 1 Year 2 Year 3 Year 4 Total

Total 7,300 9,800 7,300 7,300 31,700

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ANNEXES

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2015 FONDECYT Regular Competition

JUSTIFICATION OF REQUESTED AMOUNTS: To complete this section, check the Bases Concurso Nacional de Proyectos FONDECYT Regular 2015 and Application Instructions. (letter size, Verdana size 10 is suggested). TECHNICAL and/or SUPPORT STAFF Complete the following table to justify funding requested in this item.

TECHNICAL AND/OR SUPPORT STAFF

ACTIVITIES TO PERFORM Year(s) to participate (Year 1, Year 2…)

1. Secretary to support tasks related to the administration of the project.

4

1. Research Assistant

To support tasks relatives to algebraic and numerical computation and also we will require the services of computational technicians associated

with the set up and update of our systems in windows, OS system and Linux.

4

STIPENDS FOR THESES STUDENTS SUPPORT: Indicate the Undergraduate and Graduate theses you intend to fund through this proposal. At this moment there are least four students interested in developing their thesis in topics related to this project. In particular: a) Dark energy models, b) Tenso-scalar cosmologies, c) Black Holes Physics. d) Effective models form higher dimensions.

Doctoral student of the Ph. D program of Universidad Católica de Valparaíso and Master student

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2015 FONDECYT Regular Competition

PROPOSAL TRAVEL: Trips are funded solely for activities directly related with the proposal development, presentation of results and outreach activities to the society. Only Economy airfares are accepted. Indicate tentative destinations, purpose and number of days for each trip. FOREIGN TRAVEL: We consider one travel per year for the principal investigator to the northern hemisphere or another country in America, in order to visit other research centres and presents results in International Conference and Congresses on General Relativity and Gravitation. GRG (General Relativity and Gravitation), Mexican School on General Relativity and Mathematic Physics, Marcel Grossmann Meeting on General Relativity (Europe or Asia). We will estimate seven days. We consider visits of 20 days. App. • Diem expenses : M$ 1.500.- • Travel fares : M$1.500 (App.) All years: also we are considering additional foreign travel for the co-investigators: Samuel Lepe(PUCV); International FaresM$ .1.500, International per Diem M$ 1.500 (app.) Ramon Herrera(PUCV); International FaresM$ .1.500, International per Diem M$ 1.500 (app.) Andrés Anabalon (UAI); International Fares M$ 1.500, International per Diem M$ 1.500 (app.). !!

Destination

Purpose Nº of Days

Year 1 Paris or Prague or London or Athens Describe above 20

Year 2 Paris or Prague or London or Athens Describe above 20

Year 3 Paris or Prague or London or Athens Describe above 20

Year 4 Paris or Prague or London or Athens Describe above 20

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2015 FONDECYT Regular Competition

DOMESTIC TRAVEL: !

We would like to present the results of our work in some number (at least two) of national meetings (“Chilean workshop of High Energy Physics”, Sochifi, other). In order to continue with our present collaborations with other Chilean investigators, we would like to travel to Arica, Concepción, Temuco and Valdivia by airplane. Detail in this item per year, is as follow, PUCV: • J. Saavedra: Diem expenses: M$ 1.000.- Travel fares: M$1.000.- (App.) S. Lepe: Diem expenses : M$ 1.000.- Travel fares : M$ 1.000.- (App.) R. Herrera: Diem expenses : M$ 1.000.- Travel fares : M$ 1.000.- (App.) UAI: Andres Anabalon: Diem expenses : M$ 1.000.- Travel fares : M$ 1.000.- (App.)

Destination

Purpose Nº of Days

Year 1 Valdivia, Temuco, Arica, Santiago. Describe above 10

Year 2 Valdivia, Temuco, Arica, Santiago. Describe above 10

Year 3 Valdivia, Temuco, Arica, Santiago. Describe above 10

Year 4 Valdivia, Temuco, Arica, Santiago. Describe above 10

!!!!

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2015 FONDECYT Regular Competition

INTERNATIONAL COOPERATION FOREIGN TRAVEL: Justify your funding request to carry out international cooperation activities in Chile.

Name of Foreign Collaborator (if known) Purpose/Activities to carry out

N°. of days

stay

Year 1 Eleftherios

Papantonopoulos, Jiric Bicak, Nathalie Deruelle

It is expected to have an active cooperation with researchers they are expected to be invited to Chile.

15

Year 2 Eleftherios

Papantonopoulos, Jiric Bicak, Nathalie Deruelle

It is expected to have an active cooperation with researchers they are

expected to be invited to Chile. 15

Year 3 Eleftherios

Papantonopoulos, Jiric Bicak, Nathalie Deruelle

It is expected to have an active cooperation with researchers they are

expected to be invited to Chile. 15

Year 4 Eleftherios

Papantonopoulos, Jiric Bicak, Nathalie Deruelle

It is expected to have an active cooperation with researchers they are

expected to be invited to Chile. 15

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2015 FONDECYT Regular Competition

OPERATIONAL EXPENSES: In the following table indicate the estimated annual cost of one or more items necessary for a successful development of the proposal. Insert or delete as many rows as needed.

Subitem Amount (1000 CLP$)

Year 1

Year 2

Year 3

Year 4

Office Supplies 1000 1000 1000 1000 Computing-related items 1000 1000 1000 1000 Reagents and other laboratory non-durable materials Books purchases, scientific journals, subscription fees and memberships 1000 1000 1000 1000

Scientific meetings registration fees 500 500 500 500 Payments for services Hiring of occasional auxiliary personnel Journal publishing costs Software and licenses 1500 1500 1500 1500 Survey(s) Cost Focus Group(s) Cost Outreach to society activities 1000 1000 1000 1000 Rent a car, freight payment 500 500 500 500 Purchase of office furniture and/or minor conditioning of physical space

Other: Specify

TOTAL (1000 CLP$) 6500 6500 6500 6500

Operational expenses are the purchase of appropriate bibliographical material (scientific journal, books, etc.) and some online subscriptions to relevant journal in order to access to standard old references. Software resources, (wolfram software maple soft, phaser, etc.) Proper requirement for theoretical research - Bookstore material - Computing related items, print cartridges, projector bulb, storage medias, etc. - Payments for services of communication - Scientific meetings registration fees. - Books purchases. - Publishing costs of proposal-derived papers on ISI-indexed journals

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2015 FONDECYT Regular Competition

EQUIPMENT: Justify the need to have available the requested equipment as related to the goals and/or proposed methodologies. Describe the technical specifications for each ítem. The funding requested must include transportation, insurance, VAT and import taxes costs. Justify your request:

1.- Computers of high performance is needed for complex symbolic and numerical computations. In order to compare our results with the observational data we need a big memory requirement. 2.- The students will need computers to be able to compute , analyses, combine theoretical results with observational data. These computers will be worked as a cluster of computations. Imac 20’’ 2,66 GHz 2GB, 320 GB superdirve 3.- A color printer is ussefull in order to prepares presentation and documents for the use of the group. 4.- The weekly meeting (show results, compute, and preparation of presentation) will be with computer presentation.

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