Exact Hairy Black Holes

Abstract

This proceeding reviews the recent finding of a certain class of, regular on and outside the horizon, exact hairy black hole solutions in four dimensional general relativity. Their construction follow 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.

Some typos corrected.8 pp. Contribution to the Proceedings of Relativity and Gravitation: 100 years after Einstein in Prague, Prague, 25-29 June, 2012

References in corpus (5)

• Building an AdS/CFT superconductor
• Black holes in scalar-tensor gravity
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• A New Class of Exact Hairy Black Hole Solutions
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation

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• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory
• Holograghic Brownian motion in $2+1$ dimensional hairy black holes
• Periapsis shift and deflection of light by hairy black holes