A simple theorem to generate exact black hole solutions
General Relativity and Quantum Cosmology
2009-11-10 v2 High Energy Physics - Theory
Abstract
Under certain conditions imposed on the energy-momentum tensor, a theorem that characterizes a two-parameter family of static and spherically symmetric solutions to Einstein's field equations (black holes), is proved. A discussion on the asymptotics, regularity, and the energy conditions is provided. Examples that include the best known exact solutions within these symmetries are considered. A trivial extension of the theorem includes the cosmological constant {\it ab-initio}, providing then a three-parameter family of solutions.
Keywords
Cite
@article{arxiv.gr-qc/0304010,
title = {A simple theorem to generate exact black hole solutions},
author = {Marcelo Salgado},
journal= {arXiv preprint arXiv:gr-qc/0304010},
year = {2009}
}
Comments
14 pages; RevTex; no figures; typos corrected; references added