Thermodynamics Quantities and Heat Engines of Various Black Holes

Abstract

According to Barrow, the impact of quantum-gravitation changes the standard relation of entropy S = A 4 to S = A1+∆ 2 , where A is actual area and ∆ represents the quantum gravitational deformation effects. Keeping in mind the importance of entropy in the thermodynamics of black hole, we study the impact of Barrow entropy on the thermodynamics of charged AdS black hole with global monopole. We derive and plot many thermo- dynamical quantities of charged AdS black hole like temperature, entropy, pressure, Helmholtz free energy, Gibbs free energy, heat capacity of the system at constant pressure and volume. We study the critical behavior, phase transition and thermal stability and find out that more useful work can be extracted from black hole by using Barrow entropy. We also observe that Barrow entropy rapidly increases the Gibbs free energy of black hole which leads to more stable behavior as compare to standard relation of en- tropy. We also discuss charged black hole as heat engine and find out the efficiency of the black hole. In addition, we explore the thermal properties of torus-like black hole and find useful results regarding stability.