Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions

Andrés Anabalón, Jiří Bičák, JOEL FRANCISCO SAAVEDRA ALVEAR

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole solution of the Einstein theory minimally coupled to a real scalar field with a general potential is mode stable under linear odd-parity perturbations. To this end, we generalize the Regge-Wheeler equation for a generic self-interacting scalar field, and show that the potential of the relevant Schrödinger operator can be mapped, by the so-called S-deformation, to a semipositively defined potential. With these results at hand we study the existence of slowly rotating configurations. The frame dragging effect is compared with the corresponding effect in the case of a Kerr black hole.

Original languageEnglish
Article number124055
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number12
DOIs
StatePublished - 18 Dec 2014

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