Quasinormal Modes of Charged Scalars around Dilaton Black Holes in 2+1 Dimensions: Exact Frequencies

TL;DR

This paper derives exact quasinormal mode frequencies for charged scalar fields around 2+1 dimensional dilaton black holes, revealing their dependence on black hole charge, scalar charge, and temperature.

Contribution

It provides an exact analytical solution for quasinormal frequencies in a dilaton black hole background, a novel result in this context.

Findings

Exact quasinormal frequencies computed

Relationship between frequencies, charges, and temperature analyzed

Asymptotic real part of frequencies evaluated

Abstract

We have studied the charged scalar perturbation around a dilaton black hole in 2 +1 dimensions. The wave equations of a massless charged scalar field is shown to be exactly solvable in terms of hypergeometric functions. The quasinormal frequencies are computed exactly. The relation between the quasinormal frequencies and the charge of the black hole, charge of the scalar and the temperature of the black hole are analyzed. The asymptotic form of the real part of the quasinormal frequencies are evaluated exactly.