In this study, the quantum gravity effect on the tunnelling radiation of
charged massive spin-0 scalar particle from 2+1 dimensional charged rotating
Banados-Teitelboim-Zanelli (BTZ) black hole is looked into by using the
Hamilton-Jacobi approach. For this, we calculate the modified Hawking
temperature of the black hole by using the modified Klein-Gordon equation based
on the Generalized Uncertainty Principle (GUP), and we noticed that the
modified Hawking temperature of the black hole depends not only on the black
hole properties, but also on the angular momentum, energy, charge and mass of
the tunnelling scalar particle. Using the modified Hawking temperature, we
discussed the stability of the black hole in the context of the modified heat
capacity, and observed that it might undergo both first and second-type phase
transitions in the presence of the quantum gravity effect, but just a
first-type transition in the absence of the quantum gravity effect.
Furthermore, we investigated the modified Hawking temperature of the black hole
by using the tunnelling processes of the charged massive Dirac and vector boson
particles. We observed that scalar, Dirac and vector particles are tunnelled
from the black hole completely differently from each other in the presence of
the quantum gravity effect.Comment: Published version in General Relativity and Gravitatio
