Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations |
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| Authors: | Giuseppe Alì John K Hunter |
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| Institution: | 1. Consiglio Nazionale delle Ricerche, Istituto per le Applicaziono del Calcolo “Mauro Picone,” sez. di Napoli, via Pietro Castellino 111, I‐80131 Napoli, Italy;2. University of California, Davis, Department of Mathematics, Mathematical Sciences Building, One Shields Avenue, Davis, CA 95616 |
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| 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. © 2007 Wiley Periodicals, Inc. |
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