Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization

TL;DR

This paper derives exact analytical solutions for scalar fields in Born-Infeld dilaton black hole spacetimes, analyzes quasinormal modes, effects of cosmic strings, and discusses black hole quantization and Hawking radiation.

Contribution

It provides new exact solutions for scalar fields in BIDBH spacetimes, including cases with cosmic strings, and explores black hole quantization and radiation.

Findings

Exact solutions for scalar fields in BIDBH spacetimes

Influence of cosmic strings on black hole properties

Quantization and Hawking radiation analysis

Abstract

Chargeless massive scalar fields are studied in the spacetime of Born-Infeld dilaton black holes (BIDBHs). We first separate the massive covariant Klein-Gordon equation into radial and angular parts and obtain the exact solution of the radial equation in terms of the confluent Heun functions. Using the obtained radial solution, we show how one gets the exact quasinormal modes (QNMs) for some particular cases. We also solve the Klein-Gordon equation in the spacetime of BIDBH with a cosmic string in which we point out the effect of the conical deficit on the BIDBH. The analytical solutions of the radial and angular parts are obtained in terms of the confluent Heun functions. Finally, we study the quantization of the BIDBH. While doing this, we also discuss the Hawking radiation in terms of the effective temperature.