Thermodynamics of rotating black hole in the presence of cold dark matter

TL;DR

This paper investigates how cold dark matter influences the thermodynamic properties of rotating black holes, revealing stability conditions based on dark matter density.

Contribution

It provides a novel analysis of black hole thermodynamics considering cold dark matter effects, highlighting stability criteria related to dark matter density.

Findings

Black hole temperature and free energy depend on dark matter density.

Stability of black holes occurs only at low dark matter densities.

Thermodynamic properties vary with horizon radius and dark matter parameters.

Abstract

We have computed the thermodynamic properties of a rotating black holes in the presence of cold dark matter. The dependence of temperaure, Gibbs free energy, specific heat on the horizon radius have been studied for various values of critical density (\r{ho}c ) of the cold dark matter. The studies shows that only small values of critical density of cold the dark matter, black hole are stable.