Black hole binary mergers: recent developments in numerical relativity First-term presentation By...
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![Page 1: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/1.jpg)
Black hole binary mergers: recent developments in numerical relativity
First-term presentation
By Nikos FanidakisSupervisors: Carlton Baugh, Shaun Cole, Carlos Frenk
13/12/2007
Black hole binary mergers: recent developments in numerical relativity
First-term presentation
By Nikos FanidakisSupervisors: Carlton Baugh, Shaun Cole, Carlos Frenk
13/12/2007
![Page 2: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/2.jpg)
Outline
• Brief introduction to gravitational waves • Black hole (BH) binary mergers in numerical
relativity• Astrophysical implications: recoil kicks• Discussion – conclusions
![Page 3: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/3.jpg)
3
Quantum Fluctuations in the Early UniverseMerging super-massive black holes (SMBHs) at
galactic cores
Capture of BHs and compact stars by SMBH
Merging binary
NSs and BHs in distant
galaxies
NS quakes and
magnetars
Gravitational wave radiation
![Page 4: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/4.jpg)
BH mergers in numerical relativity: 1964-2005
Image courtesy: Kip Thorne
BHs are strong sources of gravitational waves!
A merge of two equal mass BHs releases ~1056
ergs/s Accurate gravitational
waveforms are essential for LISA
First attempt by Hahn – Lindquist (1964): inspiral (!) → merger(??) → ringdown (!)?
![Page 5: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/5.jpg)
BH mergers in numerical relativity: 2005-2007
time
ampl
itu
de
inspiral
merger
ringdown
Baker et al. 2006
1. The technique: “3+1” decomposition 3-d
hypersurfaces. Evolution of hypersurface through
time using 17 nonlinear, coupled differential eqns!
2. The breakthrough (Baker et al. 2006): Fixed “puncture”
representation of the BH Comoving coordinates
![Page 6: Black hole binary mergers: recent developments in numerical relativity First-term presentation By Nikos Fanidakis Supervisors: Carlton Baugh, Shaun Cole,](https://reader035.fdocuments.in/reader035/viewer/2022062409/56649d435503460f94a1f68f/html5/thumbnails/6.jpg)
Astrophysical implications: recoil kicks
Centrella et al. 2007
Asymmetric BH mergers impart a recoil kick to the final remnant (ejection from host structure?)
Unequal-mass BH merger simulation (Gonzalez et al. 2007):o Initial binary: m1=0.36m2
ukick ~176 km/s Highly-spinning BH merger
simulation (Herrmann et. 2007): o Initial binary: equal-mass BHs with
anti-aligned equal spins
ukick =475 km/s
M-σ relation constraint ≈ 500 km/s If spin not perpendicular to orbital
plane ukick up to 2000 km/s (Campanelli et al. 2007)
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Discussion – conclusions
known