The causal structure of microlocalized Einstein metrics
偏微分方程分析
2016-09-07 v1 广义相对论与量子宇宙学
经典分析与常微分方程
微分几何
摘要
This is the second in a series of three papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. In this paper we develop the geometric analysis of the Eikinal equation for microlocalized rough Einstein metrics. This is a crucial step in the derivation of the decay estimates needed in our first paper.
引用
@article{arxiv.math/0109174,
title = {The causal structure of microlocalized Einstein metrics},
author = {S. Klainerman and I. Rodnianski},
journal= {arXiv preprint arXiv:math/0109174},
year = {2016}
}