Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole

TL;DR

This paper examines how the Generalized Uncertainty Principle influences Hawking radiation from a 2+1 dimensional black hole, revealing dependencies on particle properties and graviton mass that modify the temperature and radiation characteristics.

Contribution

It introduces GUP corrections to Hawking temperature calculations for both Dirac and scalar particles in a 2+1D black hole, highlighting particle and graviton mass effects.

Findings

Modified Hawking temperature depends on particle properties and graviton mass.

Scalar particles cause a decrease in Hawking temperature.

Dirac particles' temperature increases with total angular momentum.

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 to be lower compared to its standard Hawking temperature. Also, we find that the modified Hawking temperature of the black hole caused by Dirac particle's tunnelling rised 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.