Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole

Abstract

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.

Tunneling of Massive Vector Particles from Types of BTZ-like Black Holes

“…Moreover, the Hawking temperature of BH increases due to the rotation parameter. Furthermore, our analysis is similar to the analysis for charged scalar and fermion particles tunneling from these BHs [59][60][61][62][63]. The charged scalar and fermion particles radiate through the BHs horizons with the same energy.…”

Quantum gravity correction to the thermodynamic quantities of the charged dRGT black hole

“…In order to perform a discussion about Hawking temperature of the black hole in the presence of the GUP effect by considering tunneling process of a charged massive Dirac particle, we use the modified Dirac equation given in the following explicit form [51,53,64];…”

“…Black holes are laboratories where quantum gravitational effects cannot be neglected and GUP applications can be tested. In the context of this thought, it is reported that the thermodynamic parameters of a black hole depend not only on the black hole properties but also on the properties of the tunnelled particles [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. In light of these discussions, we focus on the thermodynamic quantities of the charged dRGT black hole by taking into account the quantum gravity effects.…”

Analysis of black hole thermodynamics with a new higher order generalized uncertainty principle

“…In Ref. [49], the modified Hawking temperature of the black hole by using the modified Klein-Gordon equation based on GUP is obtained. In Ref.…”