Quasi-normal modes of charged, dilaton black holes

TL;DR

This paper analyzes the quasi-normal modes of charged dilaton black holes, revealing that the dilaton field breaks the isospectrality of axial and polar perturbations, unlike in Schwarzschild and Reissner-Nordström black holes.

Contribution

It provides the first computation of quasi-normal mode frequencies for charged dilaton black holes, highlighting the impact of the dilaton on perturbation spectra.

Findings

Dilaton presence breaks isospectrality of perturbations.

Quasi-normal mode frequencies differ from Reissner-Nordström and Schwarzschild cases.

The study enhances understanding of black hole perturbations in string-inspired models.

Abstract

In this paper we study the perturbations of the charged, dilaton black hole, described by the solution of the low energy limit of the superstring action found by Garfinkle, Horowitz and Strominger. We compute the complex frequencies of the quasi-normal modes of this black hole, and compare the results with those obtained for a Reissner-Nordstr\"{o}m and a Schwarzschild black hole. The most remarkable feature which emerges from this study is that the presence of the dilaton breaks the \emph{isospectrality} of axial and polar perturbations, which characterizes both Schwarzschild and Reissner-Nordstr\"{o}m black holes.