Reissner-Nordstr\"{o}m Black Hole Thermodynamics in Noncommutative Spaces

TL;DR

This paper explores how space noncommutativity influences the thermodynamics of Reissner-Nordström black holes, extending classical formalism and comparing with noncommutative Schwarzschild black holes to reveal conceptual links between charge and noncommutativity.

Contribution

It extends black hole thermodynamics to charged black holes in noncommutative space and compares these with noncommutative Schwarzschild black holes, highlighting the relation between charge and noncommutativity.

Findings

Noncommutativity alters black hole thermodynamic properties.

Comparison reveals conceptual links between charge and space noncommutativity.

Extended formalism applies to charged black holes in noncommutative geometry.

Abstract

This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordstr\"{o}m black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in commutative space. In the second step we investigate the effects of space noncommutativity and the generalized uncertainty principle on the thermodynamics of charged black holes. Finally we compare thermodynamics of charged black holes in commutative space with thermodynamics of Schwarzschild black hole in noncommutative space. In this comparison we explore some conceptual relation between charge and space noncommutativity.