Scalar perturbations of black holes in Jackiw-Teitelboim gravity

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-Nordstrom 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 Banados-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.

Automated summary

This study focuses on linear scalar perturbations of black holes in JT gravity in 2D models, obtaining exact expressions for quasinormal mode frequencies and verifying them numerically. It explores the Hawking spectra calculation using the confluent Heun equation for a 2D Reissner-Nordstrom-like solution, and considers the quasinormal modes of the dimensionally reduced BTZ black hole. The dynamics near the Cauchy horizon suggest a potential violation of strong cosmic censorship conjecture in the near extreme limit, although quantum effects may play a role in preserving it.