Hawking radiation of Dirac monopoles from the global monopole black hole with quantum gravity effects

TL;DR

This paper investigates how quantum gravity effects influence the Hawking radiation of Dirac monopoles from global monopole black holes, revealing potential black hole remnants due to GUP corrections.

Contribution

It introduces GUP-corrected temperature, entropy, and specific heat calculations for global monopole black holes, incorporating quantum corrections beyond semiclassical approximation.

Findings

GUP effects modify black hole thermodynamics significantly.

Quantum corrections can prevent complete black hole evaporation.

Black hole remnants may be formed due to GUP effects.

Abstract

In this paper we study the quantum tunneling of Dirac magnetic monopoles from the global monopole black hole under quantum gravity effects. We start from the modified Maxwell's equations and the Generalized Uncertainty Relation (GUP), to recover the GUP corrected temperature for the global monopole black hole by solving the modified Dirac equation via Hamilton-Jacobi method. Furthermore, we also include the quantum corrections beyond the semiclassical approximation, in particular, first we find the logarithmic corrections of GUP corrected entropy and finally we calculate the GUP corrected specific heat capacity. It is argued that the GUP effects may prevent a black hole from complete evaporation and leave remnants.