Consequences of Barrow entropy on thermodynamics of charged AdS black hole and heat engine

Abstract

According to Barrow, the impact of quantum-gravitation changes the standard relation of entropy [Formula: see text] to [Formula: see text], where [Formula: see text] is actual area and [Formula: see text] represents the quantum-gravitational deformation effects. Keeping in mind the importance of entropy in the thermodynamics of BHs, we study the impact Barrow entropy on the thermodynamics of charged AdS BH with global monopole. We derive and plot many thermodynamical quantities of charged AdS BHs like temperature, entropy, pressure, Helmholtz free energy, Gibbs free energy, heat capacity of the system at constant pressure and volume. We study critical behavior, phase transition and thermal stability of the BH. We find out that more useful work can be extracted from the BH by using Barrow’s entropy. We also observe that Barrow entropy rapidly increases the Gibbs free energy of BH which leads to more stable behavior as compared to standard relation of entropy. We also discuss charged BH as heat engine and find out the efficiency of the BH.