Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations
偏微分方程分析
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0511065,
title = {Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations},
author = {Giuseppe Ali and John K. Hunter},
journal= {arXiv preprint arXiv:math/0511065},
year = {2007}
}