Heat engines of Kerr-AdS black hole

Abstract

In this paper, we investigate three types of heat engines for the rotating Kerr-AdS black hole. We first briefly review the thermodynamics and phase structure of the Kerr-AdS black hole and obtain the phase structure in the $T$-$S$ chart. The thermal stability of Kerr-AdS black holes, along with their dependence on various parameters, are thoroughly examined. Then, by utilizing the phase diagram, we consider three types of heat engines: the maximal Carnot engine, Stirling engine, and Rankine engine. We calculate both the work and efficiency for these engines. The results indicate that angular momentum has a significant influence on these heat engines.