Thermodynamics of Rotating AdS black holes in Kaniadakis statistics

TL;DR

This paper explores how applying Kaniadakis entropy alters the thermodynamic behavior and phase transitions of rotating AdS black holes, providing new insights into their statistical mechanics beyond classical approaches.

Contribution

It introduces the use of Kaniadakis entropy to analyze rotating AdS black holes, revealing deviations from traditional thermodynamic predictions and expanding understanding of black hole phase structures.

Findings

Kaniadakis entropy significantly modifies black hole thermodynamics.

Phase transition behavior differs from classical Gibbs-Boltzmann predictions.

Thermodynamic topology and geometry are affected by the non-extensive framework.

Abstract

In this study, we advance the understanding of thermodynamic properties and phase transitions in rotating anti-de Sitter (AdS) black holes by applying the Kaniadakis(KD) entropy framework. This framework represents a non-extensive generalization of classical statistical mechanics, inspired by the symmetries of relativity and offering a novel perspective on black hole thermodynamics. Our focus is on investigating how Kaniadakis entropy modifies the thermodynamic phase space of rotating AdS black holes. To achieve this, we analyze three prominent rotating AdS black hole systems: the Kerr AdS black hole, the Kerr-Sen AdS black hole, and the Kerr-Newman AdS black hole. We assess their thermodynamic quantities, phase transitions, thermodynamic topology and thermodynamic geometry within the Kaniadakis statistical framework. Our analysis reveals notable deviations from the behaviour predicted by traditional Gibbs-Boltzmann(GB) statistics.