4+1 维真空平面波与 3+1 维 Einstein 方程的精确解
广义相对论与量子宇宙学
2008-11-26 v2 天体物理学
高能物理 - 理论
摘要
In this paper we derive homogeneous vacuum plane-wave solutions to Einstein's field equations in 4+1 dimensions. The solutions come in five different types of which three generalise the vacuum plane-wave solutions in 3+1 dimensions to the 4+1 dimensional case. By doing a Kaluza-Klein reduction we obtain solutions to the Einstein-Maxwell equations in 3+1 dimensions. The solutions generalise the vacuum plane-wave spacetimes of Bianchi class B to the non-vacuum case and describe spatially homogeneous spacetimes containing an extremely tilted fluid. Also, using a similar reduction we obtain 3+1 dimensional solutions to the Einstein equations with a scalar field.
引用
@article{arxiv.gr-qc/0210080,
title = {Vacuum Plane Waves in 4+1 D and Exact solutions to Einstein's Equations in 3+1 D},
author = {Sigbjorn Hervik},
journal= {arXiv preprint arXiv:gr-qc/0210080},
year = {2008}
}
备注
16 pages, no figures