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

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

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 n...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications on pure and applied mathematics 2007-10, Vol.60 (10), p.1522-1557
Hauptverfasser: Alì, Giuseppe, Hunter, John K.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Diffraction
Exact sciences and technology
Geometry
Gravity
Mathematical analysis
Mathematics
Nonlinear equations
Partial differential equations
Sciences and techniques of general use
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.20199