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

Giuseppe Ali·John K. Hunter
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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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Giuseppe Ali, John K. Hunter. 2005-11-02. Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations. https://arxiv.org/abs/math/0511065

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