A uniqueness theorem for five-dimensional Einstein–Maxwell black holes

2007/11/12 by Stefan Hollands, Stoytcho S. Yazadjiev, Stoytcho Yazadjiev · 9 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/9/095010

published as Class.Quant.Grav.25:095010,2008 · Latex, 13pp, no figures

arxiv created 2007/11/12 · openalex publication_date 2008/04/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In a previous paper (Hollands and Yazadjiev 2007 Preprint 0707.2775) we showed that stationary asymptotically flat vacuum black hole solutions in five dimensions with two commuting axial Killing fields can be completely characterized by their mass, angular momentum, a set of real moduli and a set of winding numbers. In this paper we generalize our analysis to include Maxwell fields.

Citations

• Black holes in general relativity
• Black Saturn with a dipole ring

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• Black hole uniqueness theorems in higher dimensional spacetimes
• Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces
• Stationary Black Holes: Uniqueness and Beyond
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant

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