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Title. PERIODIC STANDING-WAVE POST-MINKOWSKI APPROXIMATION. Chris Beetle FAU Ben Bromley Utah Richard Price UTB. Midwest Gravity Conf November 18, 2006. BASIC ELEMENTS OF PSW. BASIC ELEMENTS OF PSW. Helical Symmetry Simplified (?) computation Mixed PDEs Standing Waves

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Title
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PERIODIC

STANDING-WAVE

POST-MINKOWSKI APPROXIMATION

Chris Beetle FAU

Ben Bromley Utah

Richard Price UTB

Midwest Gravity Conf November 18, 2006


Basic elements of psw

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity



Basic elements of psw1

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity


Basic elements of psw2

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity



Basic elements of psw3

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity





Basic elements of psw4

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity


Previous work

PREVIOUS WORK

Previous work

  • Nonlinear scalar

  • Linearized GR


Previous work1

PREVIOUS WORK

Previous work

  • Nonlinear scalar

  • Linearized GR


Helical scalars

Helical Scalars

Helical scalars


Previous work2

PREVIOUS WORK

Previous work

  • Nonlinear scalar

  • Linearized GR




Ppm vs epm

PPM vs Exact PM

PPM vs EPM

  • PPM: first solve for linear fields

  • Exact PM: solve as a set of nonlinear

  • equations





Basic elements of psw5

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity


Basic elements of psw6

BASIC ELEMENTS OF PSW

BASIC ELEMENTS OF PSW

  • Helical Symmetry

  • Simplified (?) computation

  • Mixed PDEs

  • Standing Waves

  • Effective Linearity