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Breit-Wigner resonances and the quasinormal modes of anti–de Sitter black holes

Emanuele Berti, Vitor Cardoso, and Paolo Pani
Phys. Rev. D 79, 101501(R) – Published 11 May 2009

Abstract

We show that the theory of Breit-Wigner resonances can be used as an efficient numerical tool to compute black hole quasinormal modes. For illustration, we focus on the Schwarzschild anti–de Sitter (SAdS) spacetime. The resonance method is better suited to small SAdS black holes than the traditional series expansion method, allowing us to confirm that the damping time scale of small SAdS black holes for scalar and gravitational fields is proportional to r+2l2, where r+ is the horizon radius. The proportionality coefficients are in good agreement with analytic calculations. We also examine the eikonal limit of SAdS quasinormal modes, confirming quantitatively Festuccia and Liu’s [arXiv:0811.1033] prediction of the existence of very long-lived modes. Our results are particularly relevant for the AdS/CFT correspondence, since long-lived modes presumably dominate the decay time scale of the perturbations.

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  • Received 30 March 2009

DOI:https://doi.org/10.1103/PhysRevD.79.101501

©2009 American Physical Society

Authors & Affiliations

Emanuele Berti*

  • Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677-1848, USA

Vitor Cardoso

  • Centro Multidisciplinar de Astrofísica—CENTRA, Departamento de Física, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal and Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677-1848, USA

Paolo Pani

  • Dipartimento di Fisica, Università di Cagliari and INFN sezione di Cagliari, Cittadella Universitaria 09042 Monserrato, Italy

  • *berti@phy.olemiss.edu
  • vitor.cardoso@ist.utl.pt
  • paolo.pani@ca.infn.it Currently at Centro Multidisciplinar de Astrofísica—CENTRA, Departamento de Física, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal.

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Issue

Vol. 79, Iss. 10 — 15 May 2009

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