Thermodynamics of (2+1)-dimensional acoustic black hole based on the generalized uncertainty principle

TL;DR

This paper investigates the thermodynamics and stability of (2+1)-dimensional acoustic black holes considering the generalized uncertainty principle, revealing the existence of stable remnants and large black holes.

Contribution

It introduces a thermodynamic analysis of acoustic black holes incorporating the generalized uncertainty principle, highlighting the possibility of stable remnants after evaporation.

Findings

Existence of a minimal stable black hole remnant.

Large black holes are thermodynamically stable.

Acoustic black holes can decay into remnants or large black holes.

Abstract

We study thermodynamic quantities of an acoustic black hole and its thermodynamic stability in a cavity based on the generalized uncertainty principle. It can be shown that there is a minimal black hole which can be a stable remnant after black hole evaporation. Moreover, the behavior of the free energy shows that the large black hole is stable too. Therefore, the acoustic black hole can decay into the remnant or the large black hole.