GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes

TL;DR

This paper investigates how quantum gravitational effects, modeled via the generalized uncertainty principle (GUP), influence Hawking radiation from rotating acoustic black holes, providing theoretical corrections to temperature and entropy.

Contribution

It introduces GUP-based modifications to Hawking radiation calculations for rotating acoustic black holes, offering new insights into quantum gravity effects in analogue black hole systems.

Findings

Derived GUP-modified Hawking temperature for rotating acoustic black holes

Obtained quantum gravity corrected entropy expression

Showed GUP effects alter Hawking radiation characteristics

Abstract

Recent studies [J. Steinhauer, Nature Phys., $\textbf{10}$, 864 (2014); Phys. Rev. D $\textbf{92}$, 024043 (2015)] provide compelling evidences that Hawking radiation could be experimentally proven by using an analogue black hole. In this paper, taking this situation into account we study the quantum gravitational effects on the Hawking radiation of rotating acoustic black holes. For this purpose, we consider the generalized uncertainty principle (GUP) in the phenomenon of quantum tunneling. We firstly take the modified commutation relations into account to compute the GUP modified Hawking temperature when the massive scalar particles tunnel from this black hole. Then, we find a remarkably instructive expression for the GUP entropy to derive the quantum gravity corrected Hawking temperature of the rotating acoustic black hole.