Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations
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Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations

  • Author(s): Ali, Giuseppe
  • Hunter, John K.
  • et al.

Published Web Location

https://arxiv.org/pdf/math/0511065.pdf
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Abstract

We derive an asymptotic solution of the vacuum Einstein equations that describes the propagation and diffraction of a localized, large-amplitude, rapidly-varying gravitational wave. We compare and contrast the resulting theory of strongly nonlinear geometrical optics for the Einstein equations with nonlinear geometrical optics theories for variational wave equations.

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