Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the
- Author(s): Ali, Giuseppe
- Hunter, John K.
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0511065.pdf
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.