The entropy of an acoustic black hole in neo-Newtonian theory

TL;DR

This paper calculates the entropy of a 2+1D rotating acoustic black hole in neo-Newtonian theory, showing finite entropy with correction terms and no logarithmic corrections, using a quantum statistical approach with GUP.

Contribution

It introduces a novel calculation of acoustic black hole entropy in neo-Newtonian theory incorporating GUP corrections, without logarithmic terms.

Findings

Entropy is finite with correction terms.

No logarithmic corrections in entropy.

Method applicable to acoustic black holes in neo-Newtonian framework.

Abstract

In this paper we consider the metric of a 2+1-dimensional rotating acoustic black hole in the neo-Newtonian theory to compute the Hawking temperature and applying the quantum statistical method, we calculate the statistical entropy using a corrected state density due to the generalized uncertainty principle (GUP). In our calculations we have shown that the obtained entropy is finite and correction terms are generated. Moreover, the computation of the entropy for this method does not present logarithmic corrections.