Conserved Quantities for Polyhomogeneous Space-Times
广义相对论与量子宇宙学
2009-10-31 v1
摘要
The existence of conserved quantities with a structure similar to the Newman-Penrose quantities in a polyhomogeneous space-time is addressed. The most general form for the initial data formally consistent with the polyhomogeneous setting is found. The subsequent study is done for those polyhomogeneous space-times where the leading term of the shear contains no logarithmic terms. It is found that for these space-times the original NP quantities cease to be constants, but it is still possible to construct a set of other 10 quantities that are constant. From these quantities it is possible to obtain as a particular case a conserved quantity found by Chrusciel et al.
引用
@article{arxiv.gr-qc/9805094,
title = {Conserved Quantities for Polyhomogeneous Space-Times},
author = {J. A. Valiente Kroon},
journal= {arXiv preprint arXiv:gr-qc/9805094},
year = {2009}
}
备注
21 pages, LaTex, to be published in CQG