GUP effects on Hawking temperature in a hot NUT Kerr Newman Kasuya Anti de Sitter black hole

TL;DR

This paper investigates how quantum gravity effects modify the Hawking temperature of a complex black hole in anti-de Sitter space, revealing dependencies on various charges and instability at small sizes.

Contribution

It introduces a modified Hawking temperature for a hot NUT Kerr Newman Kasuya AdS black hole considering quantum gravity effects using tunnelling formalism.

Findings

Modified Hawking temperature depends on cosmological constant and charges.

Discontinuities in heat capacity indicate black hole instability at small sizes.

Quantum gravity effects significantly alter black hole thermodynamics.

Abstract

In this work, we use the generalised Klein-Gordon Equation in curved spacetime with an electromagnetic field to investigate the tunnelling phenomenon of scalar particles originating from the hot NUT Kerr Newman Kasuya Anti de Sitter (KNKNK AdS) black hole. Using the tunnelling formalism, we obtain a modified Hawking temperature different from previous works due to the quantum gravity effect for the charged Dirac particle at the HNKNK AdS black hole's horizon. We find that the modified Hawking temperature is affected by the cosmological constant, magnetic mass, electric and magnetic charges. We demonstrate that a significant number of discontinuities exist in the heat capacities of the HNKNK AdS, indicating that the black hole system becomes unstable as the black hole size decreases.