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

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.

Instability of a black hole with f (R) global monopole under extended uncertainty principle *

“…As mentioned above that the generalizations of the principle undoubtedly modify the horizons and further the entropy, the GUP has influence over the tunneling radiation and fragmentation of black holes [28,[34][35][36][39][40][41][42]. In the context of the GUP modifying quantum mechanics [27][28][29][30][31][32][33][34][70][71][72][73][74][75], the authors of Refs. [35,36] derived and estimated the relation between the Hawking tunneling radiation of black holes and a minimal length as the quantum gravity scale in the higher dimensional spacetime by means of the tunneling formalism.…”

The generalized uncertainty principle effect in acoustic black holes

“…Thus, in order to generate the effective acoustic metric, we incorporate the contribution of the minimum length with this prescription into the Lagrangian. In recent years, the exploration of models considering the GUP effect has been a subject of great interest in the literature [67][68][69][70][71][72][73][74][75][76][77]. In particular, the analysis of the effect of the GUP on Hawking radiation has been an issue that has been widely explored by many authors [78][79][80][81][82][83][84][85][86][87][88].…”

Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in Anti-de Sitter Black Holes via Charged Particle Absorption

“…For a review of GUP, see [47]. GUP is one of the simplest models of effective quantum gravity, and many interesting results in the study of black hole physics have been produced [48][49][50][51][52][53][54][55][56][57][58][59]. Specifically, the authors of [60] discussed the effect of quantum gravity on the weak cosmic censorship conjecture and showed that the second law of thermodynamics and the cosmic censorship conjecture are violated owing to the rainbow effect.…”