GUP effects on Hawking temperature in Riemann space-time

TL;DR

This paper investigates how quantum gravity effects, modeled via GUP, alter the Hawking temperature of black holes in Riemann space-time using tunneling methods, revealing a temperature reduction due to quantum effects.

Contribution

It introduces a modified Hawking temperature calculation incorporating GUP effects for scalar and fermionic particles in Riemann space-time.

Findings

Quantum gravity reduces black hole temperature increase.

Modified temperature derived for scalar particles.

Modified temperature derived for fermions.

Abstract

In this paper, the modified Hawking temperature of a static Riemann space-time is studied using the generalized Klein-Gordon equation and the generalized Dirac equation. Applying the Kerner-Mann quantum tunneling method, the modified Hawking temperature for scalar particle and fermions that crosses the event horizon of the black hole have been derived. We observe that the quantum gravity effect reduces the rise of thermal radiation temperature of the black hole.