Hawking radiation and stability of the canonical acoustic black holes

TL;DR

This paper investigates the thermodynamic properties and stability of canonical acoustic black holes, including quantum and noncommutative effects, revealing a logarithmic correction to entropy and conditions for their stability.

Contribution

It introduces a modified entropy-area relation with logarithmic corrections and analyzes the stability of noncommutative and quantum-corrected acoustic black holes.

Findings

Entropy includes a logarithmic correction term.

Stability conditions are derived for noncommutative and quantum-corrected black holes.

Hawking temperature and entropy are explicitly calculated.

Abstract

In this paper we determine the Hawking temperature and entropy of a modified canonical acoustic black hole. In our results we obtain an entropy-area relation that has a logarithmic correction term in leading order. We also analyze the stability condition of the noncommutative canonical acoustic black hole and also with quantum corrections implemented by the generalized Heisenberg uncertainty principle.