The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle

TL;DR

This paper investigates how a global monopole, $f(R)$ gravity, and generalized uncertainty principle corrections influence black hole tunneling radiation, revealing that these factors affect the emission process and entropy differences.

Contribution

It introduces a novel analysis of black hole tunneling radiation considering $f(R)$ gravity, global monopoles, and generalized uncertainty principle effects.

Findings

Global monopole and $f(R)$ gravity hinder photon emission from black holes.

Corrections to the uncertainty alter the entropy difference positively or negatively.

The study extends understanding of black hole thermodynamics under modified gravity and quantum effects.

Abstract

The Parikh-Kraus-Wilczeck tunneling radiation of black hole involving a $f(R)$ global monopole is considered based on the generalized uncertainty principle. The influences from global monopole, $f(R)$ gravity and the corrections to the uncertainty appear in the expression of black hole entropy difference. It is found that the global monopole and the revision of general relativity both hinder the black hole from emitting the photons. The two parts as corrections to the uncertainty make the entropy difference of this kind of black hole larger or smaller respectively.