The Thermodynamic Efficiency in Static and Dynamic Black Holes

TL;DR

This paper explores the thermodynamic efficiency of static and dynamic black holes considered as heat engines, highlighting the impact of rotation and charge on efficiency within extended phase space thermodynamics.

Contribution

It introduces the analysis of black holes as holographic heat engines, comparing static and rotating cases, and identifies the rotating parameter as more influential on efficiency.

Findings

Rotating parameter significantly enhances thermodynamic efficiency.

Electric charge has a lesser effect on efficiency compared to rotation.

High efficiency conditions are identified for static black holes.

Abstract

We note that, in extended phase space the cosmological constant is a thermodynamic variable. In this paper, this cosmological constant lead us to consider a black hole as a heat engine. So, here we take advantage from holographic heat engine and study two kind of different black holes. We first investigate a static black hole (Dyonic BH) and consider the necessary condition to have high efficiency. Also we continue our investigation for dynamic black hole (rotating charged black hole) and study the effect of rotating parameter on the thermodynamic efficiency of holographic heat engine. We show that the rotating parameter has a more effective role than electric charge in thermodynamic efficiency.