Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordstr\"om black hole

TL;DR

This paper explores the thermodynamic properties of noncommutative black holes, revealing their similarity to Reissner-Nordström black holes and identifying a parameter correspondence, thus advancing understanding of black hole thermodynamics in noncommutative geometry.

Contribution

It demonstrates the thermodynamic analogy between noncommutative and Reissner-Nordström black holes and establishes a parameter correspondence, providing new insights into black hole thermodynamics.

Findings

Thermodynamic behavior of noncommutative black holes resembles Reissner-Nordström black holes near extremality.

Identified the noncommutative parameter with the squared electric charge.

Analyzed stability of black holes in a cavity within noncommutative geometry.

Abstract

We study thermodynamic quantities and examine the stability of a black hole in a cavity inspired by the noncommutative geometry. It turns out that thermodynamic behavior of the noncommutative black hole is analogous to that of the Reissner-Nordstr\"om black hole in the near extremal limit. Moreover, we identify the noncommutative parameter with the squared electric charge with some constants.