Rendall Alan D
Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany.
Living Rev Relativ. 1998;1(1):4. doi: 10.12942/lrr-1998-4. Epub 1998 Jan 26.
This article is a guide to the literature on existence theorems for the Einstein equations which also draws attention to open problems in the field. The local in time Cauchy problem, which is relatively well understood, is treated first. Next global results for solutions with symmetry are discussed. This is followed by a presentation of global results in the case of small data, and some miscellaneous topics connected with the main theme.
本文是一篇关于爱因斯坦方程存在性定理文献的指南，同时也关注该领域的开放性问题。首先讨论相对较为清楚的时间局部柯西问题。接下来讨论具有对称性的解的全局结果。随后给出小数据情况下的全局结果，以及一些与主题相关的杂项内容。
