Effect of GUP on Hawking radiation of BTZ black hole

TL;DR

This paper explores how the generalized uncertainty principle (GUP) modifies Hawking radiation from BTZ black holes, affecting temperature and particle emission characteristics through advanced quantum and tunneling methods.

Contribution

It introduces a comprehensive analysis of GUP effects on Hawking radiation of BTZ black holes using Hamilton-Jacobi, Dirac, and Klein-Gordon equations, incorporating black hole parameters.

Findings

Modified Hawking temperature depends on black hole mass, angular momentum, and particle properties.

GUP effects lead to corrections in tunneling probability and radiation spectrum.

Original Hawking temperature is recovered when quantum gravity effects are neglected.

Abstract

The Hawking radiation of BTZ black hole is investigated based on generalized uncertainty principle effect by using Hamilton-Jacobi method and Dirac equation. The tunneling probability and the Hawking temperature of the spin-1/2 particles of the BTZ black hole are investigated using modified Dirac equation based on the GUP. The modified Hawking temperature for fermion crossing the back hole horizon includes the mass parameter of the black hole, angular momentum, energy and also outgoing mass of the emitted particle. Besides, considering the effect of GUP into account, the modified Hawking radiation of massless particle from a BTZ black hole is investigated using Damour and Ruffini method, tortoise coordinate transformation and modified Klein-Gordon equation. The relation between the modified Hawking temperature obtained by using Damour-Ruffini method and the energy of the emitted particle is derived. The original Hawking temperature is also recovered in the absence of quantum gravity effect.