English

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

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