Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence

TL;DR

This paper investigates the thermodynamic and spectroscopic properties of Schwarzschild black holes surrounded by quintessence, deriving key quantities and spectra, revealing equally spaced area and entropy spectra under certain conditions.

Contribution

It introduces a detailed analysis of black hole thermodynamics and spectroscopy in the presence of quintessence, including derivation of spectra using Bohr-Sommerfeld quantization.

Findings

Spectra are equally spaced for specific quintessence parameters.

Thermodynamic quantities depend on the quintessence parameter.

Kruskal-like coordinates are used to analyze periodicity.

Abstract

The thermodynamic and spectroscopic behaviour of Schwarzschild black hole surrounded by quintessence are studied. We have derived the thermodynamic quantities and studied their behaviour for different values of quintessence parameter. We put the background space-time into the Kruskal-like coordinate to find the period with respect to Elucidean time. Also assuming that the adiabatic invariant obeys Bohr-Sommerfeld quantization rule, detailed study of area spectrum and entropy spectrum have been done for special cases of the quintessece state parameter. We find that the spectra are equally spaced.