Thermodynamics of noncommutative quantum Kerr black holes

TL;DR

This paper develops a thermodynamic framework for noncommutative quantum Kerr black holes, analyzing how noncommutativity and quantum effects influence stability and thermodynamic properties.

Contribution

It introduces a formalism incorporating noncommutative and quantum corrections into black hole thermodynamics, highlighting their impact on stability regions.

Findings

Noncommutativity alters thermodynamic stability regions.

Quantum corrections do not remove divergence in specific heat.

Stability conditions are affected by noncommutative effects.

Abstract

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly given and the effect of noncommutativity and quantum correction is discussed. It is shown that the well known divergence exhibited in specific heat is not removed by any of these corrections. However, regions of thermodynamic stability are affected by noncommutativity, increasing the available states for which some thermodynamic stability conditions are satisfied.