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Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the
Einstein Equations
Published Web Location
https://arxiv.org/pdf/math/0511065.pdfNo data is associated with this publication.
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.