Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation

TL;DR

This paper derives exact solutions for charged scalar fields in rotating linear dilaton black holes, analyzing resonant frequencies, quantization, greybody factors, and Hawking radiation using analytical methods.

Contribution

It provides exact solutions to the Klein-Gordon equation in this geometry and explores physical phenomena like resonant frequencies, entropy quantization, and Hawking radiation.

Findings

Exact solutions in terms of confluent Heun functions

Resonant frequencies and greybody factors characterized

Hawking temperature derived analytically

Abstract

Charged massive scalar fields are studied in the gravitational, electromagnetic, dilaton, and axion fields of rotating linear dilaton black holes. In this geometry, we separate the covariant Klein-Gordon equation into radial and angular parts and obtain the exact solutions of both the equations in terms of the confluent Heun functions. Using the radial solution, we study the problems of resonant frequencies, entropy/area quantization, and greybody factor. We also analyze the behavior of the wave solutions near the event horizon of the rotating linear dilaton black hole and derive its Hawking temperature via the Damour-Ruffini-Sannan method.