Quantum Gravity Effect on the Tunneling Particles from 2 + 1-Dimensional New-Type Black Hole

Ganim Gecim,Yusuf Sucu

doi:10.1155/2018/8728564

Abstract

We investigate the generalized uncertainty principle (GUP) effect on the Hawking temperature for the 2 + 1-dimensional new-type black hole by using the quantum tunneling method for both the spin-1/2 Dirac and the spin-0 scalar particles. In computation of the GUP correction for the Hawking temperature of the black hole, we modified Dirac and Klein-Gordon equations. We observed that the modified Hawking temperature of the black hole depends not only on the black hole properties, but also on the graviton mass and the intrinsic properties of the tunneling particle, such as total angular momentum, energy, and mass. Also, we see that the Hawking temperature was found to be probed by these particles in different manners. The modified Hawking temperature for the scalar particle seems low compared with its standard Hawking temperature. Also, we find that the modified Hawking temperature of the black hole caused by Dirac particle’s tunneling is raised by the total angular momentum of the particle. It is diminishable by the energy and mass of the particle and graviton mass as well. These intrinsic properties of the particle, except total angular momentum for the Dirac particle, and graviton mass may cause screening for the black hole radiation.

Highlights

Black hole radiation is theoretically very important phenomenon for researchers who attempt to merge the gravitation with the thermodynamics and the quantum mechanics [1,2,3,4,5,6,7,8]
We investigated the quantum gravity effect on the tunneled both spin-0 scalar and spin-1/2 Dirac particles from new-type black hole in the context of 2 + 1-dimensional New Massive Gravity
We find that the modified Hawking temperature depends on the black hole’s properties and depends on the emitted particle’s mass, energy, and total angular momentum

Summary

Introduction

Black hole radiation is theoretically very important phenomenon for researchers who attempt to merge the gravitation with the thermodynamics and the quantum mechanics [1,2,3,4,5,6,7,8]. To investigate the quantum effects under the GUP relations, the thermodynamics properties of various black holes have been studied by using the quantum tunneling process of particles with various spins [46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67] These studies indicate that the modified Hawking radiation depends on the black hole’s properties and on the intrinsic properties of the tunneling particle. In the framework of the standard Heisenberg uncertainty principle, the Hawking radiation of the new-type black holes had been studied by using the quantum tunneling process of the scalar, Dirac, and vector boson particles [23, 36].

Dirac Particle’s Tunneling in the New-Type Black Hole

L2r m02

Scalar Particle’s Tunneling in the New-Type Black Hole

Concluding Remarks