Remark on Remnant and Residue Entropy with GUP

TL;DR

This paper investigates the effects of GUP and Finsler geometry on black hole remnants and entropy, providing revised thermodynamic quantities and analyzing stability and parameter influences near the Planck scale.

Contribution

It introduces a novel analysis of remnant and residue entropy in Finsler geometry with GUP, including stability and parameter effects, near the Planck scale.

Findings

Revised tunneling temperature and entropy for Rutz-Schwarzschild black holes.

Stability conditions for black hole remnants under GUP and Finsler perturbations.

Influence of Finsler and GUP parameters on residual entropy and thermodynamic phase transitions.

Abstract

In this article, close to the Planck scale, we discuss on the remnant and residue entropy from a Rutz-Schwarzschild black hole in the frame of Finsler geometry. Employing the corrected Hamilton-Jacobi equation, the tunneling radiation of a scalar particle is presented, and the revised tunneling temperature and revised entropy are also found. Taking into account generalized uncertainty principle (GUP), we analyze the remnant stability and residue entropy based on thermodynamic phase transition. In addition, the effects of the Finsler perturbation parameter, GUP parameter and angular momentum parameter on remnant and residual entropy are also discussed.