Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI...

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Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006

Transcript of Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI...

Page 1: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Title

Chris Beetle FAUBen Bromley UtahRichard Price UTB

PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION

Midwest Gravity Conf November 18, 2006

Page 2: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 3: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 4: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 5: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 6: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Source+cyl

Page 7: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 8: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 9: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 10: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 11: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 12: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Previous work

PREVIOUS WORK

Nonlinear scalar

Linearized GR

Page 13: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Previous work

PREVIOUS WORK

Nonlinear scalar

Linearized GR

Page 14: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Helical scalars

Helical Scalars

Page 15: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Previous work

PREVIOUS WORK

Nonlinear scalar

Linearized GR

Page 16: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 17: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

eqs

Page 18: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

PPM vs EPM

PPM vs Exact PM

• PPM: first solve for linear fields

•Exact PM: solve as a set of nonlinear •equations

Page 19: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.
Page 20: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

Lin+pert.gif

Page 21: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

====END=============

Page 22: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity

Page 23: Title Chris Beetle FAU Ben Bromley Utah Richard Price UTB PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION Midwest Gravity Conf November 18, 2006.

BASIC ELEMENTS OF PSW

o Helical Symmetry

o Simplified (?) computation

o Mixed PDEs

o Standing Waves

o Effective Linearity