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arXiv · 2011.08179

Scalar perturbations of black holes in Jackiw-Teitelboim gravity

Srijit Bhattacharjee·Subhodeep Sarkar·Arpan Bhattacharyya
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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-Nordstr\"om 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 Ba\~nados-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.

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Srijit Bhattacharjee, Subhodeep Sarkar, Arpan Bhattacharyya. 2020-11-14. Scalar perturbations of black holes in Jackiw-Teitelboim gravity. https://doi.org/10.1103/physrevd.103.024008

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