We derive an asymptotic solution of the vacuum Einstein equations that describe 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.

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

ALI', Giuseppe;
2007

Abstract

We derive an asymptotic solution of the vacuum Einstein equations that describe 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/143972
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