Thermodynamic studies with modifications of entropy: different black holes embedded in quintessence

Abstract

Here we study the thermodynamic properties of black holes like Reissner–Nordstrom black hole and Bardeen AdS black hole embedded in quintessence. We analyze the thermodynamic volume and naive geometric volume of Bardeen AdS black hole surrounded by the quintessence and find that they are not equal, rather the thermodynamic volume has grater value than naive geometric volume. We also analyze all the thermodynamic properties by plotting different graphs and interpret them physically for both the black holes. We compute the “cosmic-Censorship-Inequality” for the same black holes. further, we investigate their thermal stabilities by calculating the thermal heat capacity and study in different regimes. Finally, we compute the logarithmic correction to the entropy assuming the quantum fluctuations around the thermal equilibrium and investigate the corresponding thermodynamics.