Thermal stability, P-V criticality and heat engine of charged rotating accelerating black holes

In this paper, we study thermodynamic features of the charged rotating accelerating black holes in anti-de Sitter spacetime. First, we consider these black holes as the thermodynamic systems and analyze thermal stability/instability through the use of heat capacity in the canonical ensemble. We also investigate the effects of angular momentum, electric charge and string tension on the thermodynamic quantities and stability of the system. Considering the known relation between pressure and the cosmological constant, we extract the critical quantities and discuss how the mentioned parameters affect them. Then, we construct a heat engine by taking into account this black hole as the working substance, and obtain the heat engine efficiency by considering a rectangle heat cycle in the P - V plane. We examine the effects of black hole parameters on the efficiency and analyze their effective roles. Finally, by comparing the engine efficiency with Carnot efficiency, we investigate conditions in order to have a consistent thermodynamic second law.

Automated summary

This paper investigates the thermodynamic features of charged rotating accelerating black holes in anti-de Sitter spacetime. It analyzes thermal stability/instability using heat capacity in the canonical ensemble, and studies the effects of angular momentum, electric charge, and string tension on thermodynamic quantities and system stability. By considering the known relation between pressure and the cosmological constant, critical quantities are extracted and the impacts of the mentioned parameters on them are discussed. Furthermore, a heat engine is constructed using the black hole as the working substance, and the heat engine efficiency is obtained by considering a rectangular heat cycle in the P-V plane. The effects of black hole parameters on the efficiency are examined and their effective roles are analyzed. Finally, the paper investigates the conditions for a consistent fulfillment of the thermodynamic second law by comparing the engine efficiency with Carnot efficiency.