Thermodynamics and evaporation of the noncommutative black hole

TL;DR

This paper explores the thermodynamics and evaporation process of noncommutative black holes, revealing stable remnants and linking thermodynamic properties with black hole evaporation using a corrected Vaidya metric.

Contribution

It introduces a detailed analysis of noncommutative black hole thermodynamics and models the evaporation process with a noncommutativity-corrected Vaidya metric.

Findings

The extremal black hole remnant is thermodynamically stable.

A close relationship exists between thermodynamics and evaporation process.

Evaporation leads to stable black hole remnants.

Abstract

We investigate the thermodynamics of the noncommutative black hole whose static picture is similar to that of the nonsingular black hole known as the de Sitter-Schwarzschild black hole. It turns out that the final remnant of extremal black hole is a thermodynamically stable object. We describe the evaporation process of this black hole by using the noncommutativity-corrected Vaidya metric. It is found that there exists a close relationship between thermodynamic approach and evaporation process.