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

TL;DR

The paper investigates Hawking radiation from a hot NUT Kerr Newman Kasuya Anti de Sitter black hole under generalized uncertainty principle (GUP) corrections. By formulating the generalized Klein–Gordon equation in curved spacetime with an electromagnetic field and applying the tunnelling formalism in a dragging frame, it derives a GUP-corrected Hawking temperature that depends on the black hole’s rotation, NUT charge, electric and magnetic charges, and the AdS curvature scale, as well as on the emitted particle’s mass and angular momentum. The results show that GUP corrections lower the Hawking temperature and slow the evaporation rate, implying possible remnants, and reveal rich thermodynamic structure with divergences in the heat capacity signaling phase transitions that are sensitive to the black hole parameters. Limiting cases reproduce known results for Kerr–Newman, Kerr, Reissner–Nordström, and Schwarzschild spacetimes, supporting the consistency of the approach and highlighting the role of quantum gravity effects in complex spacetimes.

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.

Figures (8)

• Figure 1: Variation of the Hawking temperature versus the various values of the event horizon of the black hole for different values of "a".
• Figure 2: Variation of the Hawking temperature versus the various values of the event horizon of the black hole for different values of "$\beta$".
• Figure 3: Variation of the Hawking temperature versus the various values of the event horizon of the black hole for different values of "$n$".
• Figure 4: Variation of the Hawking temperature versus the various values of the event horizon of the black hole for different values of "$Q$".
• Figure 5: Variation of heat capacity versus the horizon radius for various values of "a"