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

  2. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  3. Just sources

  4. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  5. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  6. Source+cyl

  7. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  8. Out stat

  9. In stat

  10. Std stat

  11. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  12. PREVIOUS WORK Previous work • Nonlinear scalar • Linearized GR

  13. PREVIOUS WORK Previous work • Nonlinear scalar • Linearized GR

  14. Helical Scalars Helical scalars

  15. PREVIOUS WORK Previous work • Nonlinear scalar • Linearized GR

  16. Def of goth g

  17. eqs

  18. PPM vs Exact PM PPM vs EPM • PPM: first solve for linear fields • Exact PM: solve as a set of nonlinear • equations

  19. Close.gif

  20. Lin+pert.gif

  21. ====END=============

  22. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

  23. BASIC ELEMENTS OF PSW BASIC ELEMENTS OF PSW • Helical Symmetry • Simplified (?) computation • Mixed PDEs • Standing Waves • Effective Linearity

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