A simple theorem to generate exact black hole solutions

Details A simple theorem to generate exact black hole solutions A simple theorem to generate exact black hole solutions

2003-04-02

arxiv.org/abs/gr-qc/0304010v2

Class.Quant.Grav. 20 (2003) 4551-4566

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages; RevTex; no figures; typos corrected; references added

Scientific paper

10.1088/0264-9381/20/21/003

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.

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