Note on the Corrected Hawking Temperature of a Parametric Deformed Black Hole with Influence of Quantum Gravity

TL;DR

This paper investigates how quantum gravity and black hole deformation affect Hawking temperature, revealing a lower corrected temperature that implies black hole remnants and depends on fermion and black hole masses as well as deformation parameters.

Contribution

It introduces a combined analysis of quantum gravity and deformation effects on black hole temperature using the Hamilton-Jacobi method, highlighting the dominant role of quantum gravity corrections.

Findings

Corrected Hawking temperature is lower than the standard temperature.

Black hole remnants are predicted due to temperature correction.

Quantum gravity correction depends on emitted fermion mass, deformation correction depends on black hole mass.

Abstract

In this paper, using Hamilton-Jacobi method, we discuss the tunnelling of fermions when the dual influence of quantum gravity and the deformation of a parameterized black hole is taken into account. With the influence of the generalized uncertainty principle, there exists an offset around the standard Hawking temperature. We investigate a parametric deformed black hole and find that the corrected temperature is lower than the standard one,so there exists remnant of the black hole and the correction is not only determined by the mass of the emitted fermion,but also determined by the mass of the black hole and the deformation parameter.Under the dual influence of quantum gravity and deformation,the correction effect of quantum gravity is the main influencing factor, while the correction effect of deformation parameter is secondary. The quantum gravitational correction factor is only determined by the mass of the emitted fermions, while the deformation correction factor is only determined by the mass of the black hole.