Quasinormal modes of a two-dimensional black hole

TL;DR

This paper calculates the quasinormal frequencies of scalar and fermionic fields in a two-dimensional black hole, revealing a continuous spectrum with unstable modes and discussing implications for black hole entropy quantization.

Contribution

It is the first to identify a continuous spectrum of quasinormal modes in a 2D black hole and analyze its impact on entropy spectrum models.

Findings

Discovered a continuous spectrum of quasinormal frequencies.

Found the presence of unstable quasinormal modes.

Discussed implications for black hole entropy quantization.

Abstract

For a two-dimensional black hole we determine the quasinormal frequencies of the Klein-Gordon and Dirac fields. In contrast to the well known examples whose spectrum of quasinormal frequencies is discrete, for this black hole we find a continuous spectrum of quasinormal frequencies, but there are unstable quasinormal modes. In the framework of the Hod and Maggiore proposals we also discuss the consequences of these results on the form of the entropy spectrum for the two-dimensional black hole.