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

Andrés Anabalón, Jiří Bičák, Joel Saavedra

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15 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Número de artículo124055
PublicaciónPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volumen90
N.º12
DOI
EstadoPublicada - 18 dic. 2014
Publicado de forma externa

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