A simple theorem to generate exact black-hole solutions

2003/04/30 by Marcelo Salgado · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/20/21/003

published as Class.Quant.Grav. 20 (2003) 4551-4566 · 14 pages; RevTex; no figures; typos corrected; references added

openalex publication_date 2003/09/29 · arxiv created 2003/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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

Citations

• Quintessence and black holes

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