Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions

TL;DR

This paper calculates exact quasinormal frequencies for Klein-Gordon and Dirac fields in two-dimensional Achucarro-Ortiz black holes, analyzing stability, massless limits, and the Time Times Temperature bound, including charged cases.

Contribution

It provides the first exact calculations of quasinormal frequencies in this black hole model, extending results to charged cases and examining stability and thermodynamic bounds.

Findings

Exact quasinormal frequencies for Klein-Gordon and Dirac fields obtained.

Stability of modes analyzed in the massless limit.

Extension of results to charged Achucarro-Ortiz black holes.

Abstract

We calculate exactly the quasinormal frequencies of Klein-Gordon and Dirac test fields propagating in two-dimensional uncharged Achucarro-Ortiz black hole. For both test fields we study whether the quasinormal frequencies are well defined in the massless limit. We use their values to discuss the classical stability of the quasinormal modes in uncharged Achucarro-Ortiz black hole and to check the recently proposed Time Times Temperature bound. Furthermore we extend some of these results to the charged Achucarro-Ortiz black hole.