Stationary Black Holes: Uniqueness and Beyond

2012/05/28 by Piotr T. Chruściel, João Lopes Costa, Markus Heusler · 7 citations
Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Einstein #Extremal black hole #Field (mathematics) #Pulsars and Gravitational Waves Research #Rotating black hole #Symmetry (geometry) #Uniqueness #White hole #gr-qc

paper · pdf · doi:10.12942/lrr-2012-7

published as Living Rev. Relativity 15, (2012), 7 · Major update of the original version by Markus Heusler from 1998. Piotr T. Chruściel and João Lopes Costa succeeded to this review's authorship. Significantly restructured and updated all sections; changes are too numerous to be usefully described here. The number of references increased from 186 to 329

arxiv created 2012/05/28 · openalex publication_date 2012/05/29 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black-hole spacetimes ceases to exist in self-gravitating non-linear field theories. This text aims to review some developments in the subject and to discuss them in light of the uniqueness theorem for the Einstein-Maxwell system.

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• Black holes, gravitational waves and fundamental physics: a roadmap
• Neutral Black Rings in Five Dimensions are Unstable
• Kerr black holes with Proca hair
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Lie point symmetries of near-horizon geometry equation
• Testing the Kerr hypothesis using x-ray reflection spectroscopy with NuSTAR data of Cygnus X-1 in the soft state