Thermodynamical analysis of charged rotating black hole surrounded by perfect fluid dark matter

Abstract

This paper is devoted to studying thermodynamics and particle acceleration around charged rotating BHs surrounded by perfect fluid dark matter. In the beginning, we discuss BH horizons, ergosphere and inner stable circular orbits in the framework of perfect fluid dark matter. It is observed that perfect fluid dark matter effects Hawking's temperature, Gibbs free free energy, and other physical quantities related to thermodynamics. Some different aspects of thermodynamics are discussed within the scope of different values of the involved parameters. Further, we discuss the thermal fluctuations of considered BH solutions, which refer to the random motion of particles around a BH due to temperature fluctuations. Specifically, thermal fluctuations are affecting the entropy and Hawking radiation of a BH, which are crucial for understanding the behavior of physical quantities. It is found that corrected thermodynamical quantities of charged rotating perfect fluid dark matter BHs are smaller than the charged rotating BH without perfect fluid dark matter. We emphasize that the assumptions made in the literature and the thermodynamics of the previous BH solutions are well consistent with our results.