Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole

TL;DR

This paper analytically investigates the resonant frequencies of a charged scalar field around a Garfinkle-Horowitz-Strominger dilaton black hole, providing insights into its quantum properties and Hawking radiation effects.

Contribution

It presents an exact analytical solution for the scalar field's resonant frequencies in a dilaton black hole spacetime using confluent Heun functions, extending previous studies.

Findings

Derived explicit expressions for resonant frequencies.

Analyzed the impact of charge and mass on the scalar field.

Explored implications for Hawking radiation phenomena.

Abstract

We use the exact analytical solution of the radial part of the Klein-Gordon equation describing a charged massive scalar field in the electrically charged Garfinkle-Horowitz-Strominger dilaton black hole spacetime, given in terms of the confluent Heun functions, to study the physical phenomena related to resonant frequencies associated to this field, and also to examine some aspects related to its Hawking radiation. The special case of a Schwarzschild spacetime is also considered.