Global Structure of Certain Static Spacetimes (I)
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
In this paper, static spacetimes with a topological structure of R^2 \times N is studied, where N is an arbitrary manifold. Well known Schwarzschild spacetime and Reissner-Nordstrom spacetime are special cases. It is shown that the existence of a constant and positive surface gravity ensures the existence of the Killing horizon, with the cross section homeomorphic to N.
Keywords
Cite
@article{arxiv.gr-qc/0104039,
title = {Global Structure of Certain Static Spacetimes (I)},
author = {Bin Zhou},
journal= {arXiv preprint arXiv:gr-qc/0104039},
year = {2007}
}
Comments
Plain LaTeX, 10 pages, no figures