# Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes

## TL;DR

This paper explores the thermodynamic behavior, stability, phase transitions, and heat engine efficiency of charged rotating accelerating black holes in anti-de Sitter space, revealing how various parameters influence these properties.

## Contribution

It provides a comprehensive analysis of thermodynamic stability, critical phenomena, and heat engine efficiency for charged rotating accelerating black holes, incorporating effects of angular momentum, charge, and string tension.

## Key findings

- Black holes exhibit regions of thermal stability and instability.
- Parameters like charge and angular momentum significantly affect critical quantities.
- The black hole-based heat engine can approach Carnot efficiency under certain conditions.

## Abstract

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.