An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data
General Relativity and Quantum Cosmology
2010-12-06 v1
Abstract
We prove that analytic initial data on a light cone arising from a metric satisfying a "near-roundness" condition near the vertex lead to a solution of the vacuum Einstein equations to the future of the light-cone.
Keywords
Cite
@article{arxiv.1012.0777,
title = {An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data},
author = {Yvonne Choquet-Bruhat and Piotr T. Chruściel and José M. Martín-García},
journal= {arXiv preprint arXiv:1012.0777},
year = {2010}
}
Comments
33 pages. Contribution to the proceedings of the "Petrov 2010 Anniversary Symposium on General Relativity and Gravitation", held in Kazan, Nov 2010