Time (in)dependence in general relativity
广义相对论与量子宇宙学
2008-11-26 v2
摘要
We clarify the conditions for Birkhoff's theorem, that is, time-independence in general relativity. We work primarily at the linearized level where guidance from electrodynamics is particularly useful. As a bonus, we also derive the equivalence principle. The basic time-independent solutions due to Schwarzschild and Kerr provide concrete illustrations of the theorem. Only familiarity with Maxwell's equations and tensor analysis is required.
引用
@article{arxiv.gr-qc/0607020,
title = {Time (in)dependence in general relativity},
author = {S. Deser and J. Franklin},
journal= {arXiv preprint arXiv:gr-qc/0607020},
year = {2008}
}
备注
Revised version of originally titled "Kinder Kerr", to appear in American Journal of Physics