Letter: Charged Black Hole Solutions in Einstein-Born-Infeld Gravity with a Cosmological Constant

2003/01/01 by Sharmanthie Fernando, Don Krug · 224 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Charged black hole #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Extremal black hole #Massive gravity #White hole #de Sitter–Schwarzschild metric #hep-th

paper · pdf · doi:10.1023/a:1021315214180

published in General Relativity and Gravitation 35(1), 129-137 (Springer Science+Business Media) · LaTex 8 pages, 3 figures, references added

openalex publication_date 2003/01/01 · arxiv created 2005/04/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions differ drastically from their counterparts in Einstein-Maxwell gravity with a cosmological constant. The charged de-Sitter black holes can have up to three horizons and the charged anti-de Sitter black hole can have one or two depending on the parameters chosen.

Citations

• Thermodynamics of black holes in anti-de Sitter space

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