The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle

TL;DR

This paper investigates how extended uncertainty principle corrections influence the instability and evolution of black holes with $f(R)$ global monopoles, showing that EUP effects promote black hole radiation and fragmentation.

Contribution

It introduces the impact of EUP corrections on black hole instability with $f(R)$ global monopoles, highlighting their role in black hole radiation and division.

Findings

EUP increases entropy difference, encouraging more radiation.

EUP effects lead to black hole division.

Global monopole and modified gravity influence evolution but do not prevent instability.

Abstract

We consider the evolution of black hole involving an $f(R)$ global monopole based on the Extended Uncertainty Principle (EUP). The black hole evolutions refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation or fragmentation. It is found that the EUP corrections make the entropy difference larger to encourage the black hole to radiate more greatly. We also show that the appearance of the EUP effects result in the black hole's division. The influence from global monopole and the revision of general relativity can also adjust the black hole evolution simultaneously, but can not change the final result that the black hole will not be stable because of the EUP's effects.