Hawking radiation and entropy of a BTZ black hole with minimum length

TL;DR

This paper investigates how a minimum length, inspired by quantum considerations, affects the thermodynamics and stability of a BTZ black hole, revealing modifications to temperature, entropy, and specific heat.

Contribution

It introduces a minimum length into the BTZ black hole model and analyzes its impact on thermodynamic properties and stability, a novel approach in black hole physics.

Findings

Minimum length alters the black hole's temperature and entropy.

The stability of the black hole is affected by the minimum length.

Specific heat capacity calculations confirm the black hole's stability under the new model.

Abstract

In this paper we consider a BTZ black hole with minimum length which has been introduced through the probability density of the ground state of the hydrogen atom. We analyzed the effect of the minimum length by calculating the thermodynamic quantities such as temperature and entropy and verified the stability of the black hole by computing the specific heat capacity.