title chris beetle fau ben bromley utah richard price utb periodic standing-wave post-minkowski...
TRANSCRIPT
Title
Chris Beetle FAUBen Bromley UtahRichard 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
BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation o Mixed PDEs
o Standing Waves
o Effective Linearity
BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation
o Mixed PDEs
o Standing Waves
o Effective Linearity
Source+cyl
BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation
o Mixed PDEs
o Standing Waves
o Effective Linearity
BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation
o Mixed PDEs
o Standing Waves
o Effective Linearity
Previous work
PREVIOUS WORK
Nonlinear scalar
Linearized GR
Previous work
PREVIOUS WORK
Nonlinear scalar
Linearized GR
Helical scalars
Helical Scalars
Previous work
PREVIOUS WORK
Nonlinear scalar
Linearized GR
eqs
PPM vs EPM
PPM vs Exact PM
• PPM: first solve for linear fields
•Exact PM: solve as a set of nonlinear •equations
Lin+pert.gif
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BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation
o Mixed PDEs
o Standing Waves
o Effective Linearity
BASIC ELEMENTS OF PSW
o Helical Symmetry
o Simplified (?) computation
o Mixed PDEs
o Standing Waves
o Effective Linearity