真空爱因斯坦方程光锥柯西问题在近圆解析数据下的存在性定理
广义相对论与量子宇宙学
2010-12-06 v1
摘要
我们证明，由满足顶点附近“近圆”条件的度规所生成的光锥上的解析初始数据，会导致光锥未来区域中真空爱因斯坦方程的解。
引用
@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}
}
备注
33 pages. Contribution to the proceedings of the "Petrov 2010 Anniversary Symposium on General Relativity and Gravitation", held in Kazan, Nov 2010