Quasinormal frequencies of the dimensionally reduced BTZ black hole

TL;DR

This paper numerically computes the quasinormal frequencies of Klein-Gordon and Dirac fields in the two-dimensional dimensionally reduced BTZ black hole, extending previous analyses and introducing new results for the Dirac field.

Contribution

It provides the first calculation of Dirac quasinormal frequencies in this black hole and extends Klein-Gordon results to new parameter ranges.

Findings

First calculation of Dirac quasinormal frequencies in this context

Extended Klein-Gordon frequency analysis to new parameters

Used asymptotic iteration and Horowitz-Hubeny methods

Abstract

We calculate numerically the quasinormal frequencies of the Klein-Gordon and Dirac fields moving in the two-dimensional dimensionally reduced BTZ black hole. Our work extends results previously published on the damped oscillations of this black hole. First, we compute the quasinormal frequencies of the minimally coupled Klein-Gordon field for a range of the dimensionally reduced BTZ black hole physical parameters that is not previously analyzed. Furthermore we determine, for the first time, the quasinormal frequencies of the Dirac field propagating in the dimensionally reduced BTZ black hole. For the Dirac field we use the Horowitz-Hubeny method and the asymptotic iteration method, while for the Klein-Gordon field the extension of the previous results is based on the asymptotic iteration method. Finally we discuss our main results.