Thermodynamics and Spectroscopy of charged Dilaton black holes

TL;DR

This paper extends the Bohr-Sommerfeld quantization method to analyze the area and entropy spectra of charged dilaton black holes in 2+1 dimensions, revealing their dependence on charge and equal spacing.

Contribution

It introduces a detailed quantization approach for charged dilaton black holes using Kruskal-like coordinates and explores their thermodynamic properties.

Findings

Area and entropy spectra depend on charge

Spectra are equally spaced

Thermodynamic properties are analyzed

Abstract

The Bohr-Sommerfeld quantization rule is useful to study the area spectrum of black holes by employing adiabatic invariants. This method is extended to charged dilaton black holes in 2+1 dimensions. We put the background space-time into the Kruskal-like coordinate to find the period with respect to Euclidian time. Also assuming that the adiabatic invariant obeys Bohr-Sommerfeld quantization rule, detailed study of area and entropy spectrum has been done. It is dependent on the charge and is equally spaced as well. We also investigate the thermodynamics of the charged dilaton black hole.