Superradiant instability of near extremal and extremal four-dimensional charged hairy black holes in anti–de Sitter spacetime

P. A. González, Eleftherios Papantonopoulos, Joel Saavedra, and Yerko Vásquez
Phys. Rev. D 95, 064046 – Published 27 March 2017

Abstract

We study the instability of near extremal and extremal four-dimensional anti-de Sitter charged hairy black holes to radial neutral massive and charged massless scalar field perturbations. We solve the scalar field equation by using the improved asymptotic iteration method and the time domain analysis, and we find the quasinormal frequencies. For the charged scalar perturbations, we find the superradiance condition by computing the reflection coefficient in the low-frequency limit, and we show that in the superradiance regime, which depends on the scalar hair charge, all modes of radial charged massless perturbations are unstable, indicating that the charged hairy black hole is superradiantly unstable. On the other hand, calculating the quasinormal frequencies of radial neutral scalar perturbations in this background, we find stability of the charged hairy black hole.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 22 February 2017

DOI:https://doi.org/10.1103/PhysRevD.95.064046

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

P. A. González1,*, Eleftherios Papantonopoulos2,†, Joel Saavedra3,‡, and Yerko Vásquez4,§

  • 1Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
  • 2Department of Physics, National Technical University of Athens, Zografou Campus 157 73, Athens, Greece
  • 3Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso, Chile
  • 4Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile

  • *pablo.gonzalez@udp.cl
  • lpapa@central.ntua.gr
  • joel.saavedra@ucv.cl
  • §yvasquez@userena.cl

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 95, Iss. 6 — 15 March 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×