Exact hairy black holes

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13 Scopus citations


This contribution reviews the recent discovery of a certain class of—regular on and outside the horizon—exact hairy black hole solutions in four dimensional general relativity. Their construction follows from the integrability of a cohomogeneity two Weyl rescaling of the Carter–Debever ansatz in the presence of an arbitrary number of scalar fields with an arbitrary self interaction and an arbitrary non-minimal coupling to the scalar curvature. Two field equations, independent of the specific form of the energy momentum tensor, are used to integrate the metric. The remaining ones fix the form of the scalar field self interaction. The cohomogeneity one black holes are described and are shown to encompass all the exact—regular in the domain of outer communications—uncharged, black holes with a minimally coupled scalar hair, available in the literature.

Original languageEnglish
Title of host publicationRelativity and Gravitation - 100 years after Einstein in Prague
EditorsJiří Bičák, Tomáš Ledvinka, Jiří Bičák, Jiří Bičák
PublisherSpringer Science and Business Media, LLC
Number of pages8
ISBN (Electronic)9783319067605
StatePublished - 2014
Externally publishedYes
EventInternational conference on Relativity and Gravitation, 2012 - Prague, Czech Republic
Duration: 25 Jun 201229 Jun 2012

Publication series

NameSpringer Proceedings in Physics
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941


ConferenceInternational conference on Relativity and Gravitation, 2012
Country/TerritoryCzech Republic


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