New charged black holes with conformal scalar hair

Andrés Anabalón, Hideki Maeda

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Abstract

A new class of four-dimensional, hairy, stationary solutions of the Einstein-Maxwell-Λ system with a conformally coupled scalar field is obtained. The metric belongs to the Plebański-Demiański family and hence its static limit has the form of the charged (A)dS C metric. It is shown that, in the static case, a new family of hairy black holes arises. They turn out to be cohomogeneity-two, with horizons that are neither Einstein nor homogenous manifolds. The conical singularities in the C metric can be removed due to the backreaction of the scalar field providing a new kind of regular, radiative spacetime. The scalar field carries a continuous parameter proportional to the usual acceleration present in the C metric. In the zero-acceleration limit, the static solution reduces to the dyonic Bocharova-Bronnikov-Melnikov-Bekenstein solution or the dyonic extension of the Martínez-Troncoso-Zanelli black holes, depending on the value of the cosmological constant.

Original languageEnglish
Article number041501
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number4
DOIs
StatePublished - 12 Feb 2010
Externally publishedYes

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