Tunneling of Massive Vector Particles under the Influence of Quantum Gravity

TL;DR

This paper investigates how quantum gravity influences the tunneling of massive charged vector particles from accelerating rotating charged NUT black holes, leading to modified Hawking temperatures and stability analysis.

Contribution

It introduces a modified Proca equation with the generalized uncertainty principle to analyze quantum gravitational effects on black hole tunneling.

Findings

Corrected Hawking temperature increases with rotation, acceleration, and quantum correction parameters.

Temperature decreases with higher electric and magnetic charges.

Graphical analysis illustrates temperature behavior relative to the event horizon.

Abstract

This paper is devoted to investigate charged vector particles tunneling via horizons of a pair of accelerating rotating charged NUT black hole under the influence of quantum gravitational effects. For this purpose, we use the modified Proca equation incorporating generalized uncertainty principle. Using the WKB approximation to the field equation, we obtain a modified tunneling rate and the corresponding corrected Hawking temperature for this black hole. Moreover, we analyze the graphical behavior of corrected Hawking temperature $T'_{H}$ with respect to the event horizon for the given black hole. By considering quantum gravitational effects on Hawking temperatures, we discuss the stability analysis of this black hole. For a pair of black holes, the temperature $T'_{H}$ increases with the increase in rotation parameters $a$ and $\omega$, correction parameter $\beta$, black hole acceleration $\alpha$ and arbitrary parameter $k$ and decreases with the increase in electric $e$ and magnetic charges $g$.