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

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

2005-11-02

arxiv.org/abs/math/0511065v1

Mathematics

Analysis of PDEs

Scientific paper

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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