Thermodynamics of a Bardeen black hole in noncommutative space

TL;DR

This paper investigates how noncommutative geometry influences the thermodynamic properties of Bardeen black holes, revealing significant differences from classical models, especially regarding the existence of horizons and singularities.

Contribution

It introduces a detailed analysis of Bardeen black hole thermodynamics within noncommutative space, highlighting novel effects on singularity and horizon structures compared to commutative space.

Findings

Noncommutative space alters black hole thermodynamics significantly.

Existence of horizons and singularities depends on parameter choices in noncommutative space.

Temperature behavior remains similar, but other quantities differ between spaces.

Abstract

In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole mass, temperature, entropy and its differential, area and energy distribution of the Bardeen solution have been discussed graphically for both noncommutative and commutative spaces. Graphs show that the commutative coordinates extrapolate all such quantities (except temperature) for a given set of parameters. It is interesting to mention here that these sets of parameters provide the singularity (essential for $r_h>0$) and horizon ($f(r_h)=0$ for $r_h>0$) for the black hole solution in noncommutative space, while for commutative space no such quantity exists.