Initial data for fluid bodies in general relativity
广义相对论与量子宇宙学
2011-04-21 v1
摘要
We show that there exist asymptotically flat almost-smooth initial data for Einstein-perfect fluid's equation that represent an isolated liquid-type body. By liquid-type body we mean that the fluid energy density has compact support and takes a strictly positive constant value at its boundary. By almost-smooth we mean that all initial data fields are smooth everywhere on the initial hypersurface except at the body boundary, where tangential derivatives of any order are continuous at that boundary. PACS: 04.20.Ex, 04.40.Nr, 02.30.Jr
引用
@article{arxiv.gr-qc/0201091,
title = {Initial data for fluid bodies in general relativity},
author = {Sergio Dain and Gabriel Nagy},
journal= {arXiv preprint arXiv:gr-qc/0201091},
year = {2011}
}
备注
38 pages, LaTeX 2e, no figures. Accepted for publication in Phys. Rev. D