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

Andrés Anabalón, Jiří Bičák, and Joel Saavedra
Phys. Rev. D 90, 124055 – Published 18 December 2014

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.

  • Figure
  • Received 29 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.124055

© 2014 American Physical Society

Authors & Affiliations

Andrés Anabalón1,*, Jiří Bičák2,†, and Joel Saavedra3,‡

  • 1Departamento de Ciencias, Facultad de Artes Liberales y Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750 Viña del Mar, Chile
  • 2Institute of Theoretical Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic
  • 3Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile

  • *andres.anabalon@uai.cl
  • jiri.bicak@mff.cuni.cz
  • joel.saavedra@ucv.cl

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Issue

Vol. 90, Iss. 12 — 15 December 2014

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