Hairy black holes in the XX-th and XXI-st centuries

Abstract

This is a brief summary of the most important hairy black hole solutions in 3+1 spacetime dimensions discovered over the last 25 years. These were first of all the Einstein-Yang-Mills black holes and their various generalizations including the Higgs field, the dilaton and the curvature corrections, and also the Skyrme black holes. More recently, these were black holes supporting a scalar field violating the energy conditions or non-minimally coupled to gravity, and also spinning black holes with massive complex scalar hair. Finally, these were black holes with massive graviton hair.

20 pages, rapporteur article for the MG14 section on hairy black holes

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• Charged slowly rotating toroidal black holes in the (1+3)-dimensional Einstein-power-Maxwell theory
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• Instability of sphaleron black holes in asymptotically anti-de Sitter space-time
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• $SU(2)$ Yang-Mills solitons in $R^2$ gravity
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