Quasinormal Modes of Charged Dilaton Black Holes in 2+1 Dimensions

TL;DR

This paper calculates the exact quasinormal modes of scalar perturbations in 2+1 dimensional charged dilaton black holes, revealing purely damped modes and contributing to understanding black hole stability in string theory contexts.

Contribution

It provides the first exact calculation of quasinormal modes for charged dilaton black holes in 2+1 dimensions, linking string theory solutions with black hole perturbation analysis.

Findings

Quasinormal modes are purely imaginary, indicating damping without oscillation.

Both charged and uncharged black holes exhibit similar damping behavior.

Results enhance understanding of black hole stability in lower-dimensional string theory models.

Abstract

We have studied the scalar perturbation of static charged dilaton black holes in 2+1 dimensions. The black hole considered here is a solution to the low-energy string theory in 2+1 dimensions. It is asymptotic to the anti-de Sitter space. The exact values of quasinormal modes for the scalar perturbations are calculated. For both the charged and uncharged cases, the quasinormal frequencies are pure-imaginary leading to purely damped modes for the perturbations.