Scalar perturbations of black holes in Jackiw-Teitelboim gravity

Abstract

We study linear scalar perturbations of black holes in two-dimensional (2D) gravity models with a particular emphasis on Jackiw-Teitelboim (JT) gravity. We obtain an exact expression of the quasinormal mode frequencies for single horizon black holes in JT gravity and then verify it numerically using the Horowitz-Hubeny method. For a 2D Reissner-Nordström like solution, we find that the massless scalar wave equation reduces to the confluent Heun equation using which we calculate the Hawking spectra. Finally, we consider the dimensionally reduced Bañados-Teitelboim-Zanelli (BTZ) black hole and obtain the exterior and interior quasinormal modes. The dynamics of a scalar field near the Cauchy horizon mimics the behavior of the same for the usual BTZ black hole, indicating a possible violation of the strong cosmic censorship conjecture in the near extreme limit. However, quantum effects seem to rescue strong cosmic censorship.

16 pages, 3 figures, two-column revtex-4 format. Minor changes in the abstract, introduction and discussion, appendix and references added, typos corrected. Published in Physical Review D

References in corpus (3)

• Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation
• Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole
• Strong Cosmic Censorship in Two Dimensions

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• Quasinormal modes of charged BTZ black holes
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• The fate of Schwarzschild--de Sitter black holes: nonequilibrium evaporation
• Scalar and Spinor Quasi Normal Modes of a 2D Dilatonic Blackhole
• Quasinormal frequencies of the dimensionally reduced BTZ black hole
• Effective models of non-singular quantum black holes