Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations | Zendy

Alì Giuseppe | Zendy; Hunter John K. | Zendy

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Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations

Author(s) -

Alì Giuseppe,

Hunter John K.

Publication year - 2007

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.20199

Subject(s) - geometrical optics , einstein , nonlinear system , gravitational wave , diffraction , classical mechanics , wave equation , amplitude , mathematics , physics , mathematical analysis , optics , quantum mechanics

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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