Leading-order corrections to charged rotating AdS black holes thermodynamics

TL;DR

This paper investigates how leading-order thermal corrections influence the thermodynamics and stability of charged rotating AdS black holes, confirming the first law and exploring holographic duality with Van der Waals fluids.

Contribution

It provides explicit analysis of thermal corrections on thermodynamics and stability of charged rotating AdS black holes, highlighting their holographic duality with Van der Waals fluids.

Findings

Thermal corrections satisfy the first law of thermodynamics.

Leading-order corrections affect black hole stability.

Holographic duality with Van der Waals fluid is maintained.

Abstract

In this paper, we consider a charged rotating AdS black holes in four dimensions and study the effects of leading-order thermal corrections on the thermodynamics of such system explicitly. The first-order corrected thermodynamical quantities also satisfy the first-law of thermodynamics of the black holes. The holographic duality between the charged rotating AdS black holes and Van der Waals fluid is also emphasized through the $P-v$ diagram. Finally, we study the effects of the leading-order thermal corrections on the stability of the charged rotating black holes.