A rigidity theorem for nonvacuum initial data
广义相对论与量子宇宙学
2016-08-31 v3
摘要
In this note we prove a theorem on non-vacuum initial data for general relativity. The result presents a ``rigidity phenomenon'' for the extrinsic curvature, caused by the non-positive scalar curvature. More precisely, we state that in the case of asymptotically flat non-vacuum initial data if the metric has everywhere non-positive scalar curvature then the extrinsic curvature cannot be compactly supported.
引用
@article{arxiv.gr-qc/0101006,
title = {A rigidity theorem for nonvacuum initial data},
author = {Gabor Etesi},
journal= {arXiv preprint arXiv:gr-qc/0101006},
year = {2016}
}
备注
This is an extended and published version: LaTex, 10 pages, no figures