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A simple theorem to generate exact black-hole solutions

Marcelo Salgado

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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 ab initio, providing then a three-parameter family of solutions.


PACS

04.70.Bw Classical black holes

02.10.Ud Linear algebra

04.20.Jb Exact solutions

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83C57 Black holes

83C15 Exact solutions

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 21 (7 November 2003)

Received 2 April 2003

Published 26 September 2003



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