Tunneling of massive vector particles under influence of quantum gravity *

Abstract

This study set out to investigate charged vector particles tunneling via horizons of a pair of accelerating rotating charged NUT black holes under the influence of quantum gravity. To this end, we use the modified Proca equation incorporating generalized uncertainty principle. Applying 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 the corrected Hawking temperature 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 increases with the increase in rotation parameters a and , correction parameter , black hole acceleration , and arbitrary parameter k, and decreases with the increase in electric e and magnetic charges g.

Stability Analysis of Charged Rotating Black Ring

“…In order to study the tunneling probability for boson particles through the CRBR horizon y + , we will assume the Lagrangian equation with gravity and electromagnetic effects. The charged motion with spin-1 fields is described out by the given Lagrangian gravity equation with vector field χ µ [15]…”

“…The BHs are the main experimental scalar and vector fields for studying the effects of gravity and there is much literature on the thermodynamical properties of BHs to study the gravity effects under GUP. The BH thermodynamics have been analyzed within the GUP [9][10][11][12][13][14][15][16]. The field equation in the WKB approximation and tunneling of bosons from the BHs in different theory have been analyzed [17,18].…”

Tunneling Under the Influence of Quantum Gravity in Black Rings

“…Now we focus on analyzing boson particles tunneling from the NBR. In curved space-time, boson particles should be satisfied with the following Lagrangian gravity equation without charge [12,13]…”

“…To take the gravity effects of tunneling radiation and the Lagrangian equation will be modified by taking GUP effects. The black hole and rotating black ring thermodynamics have furthermore been studied within the GUP effects [12][13][14][15][16][17].…”

Gravity Effects on Hawking Radiation from Charged Black Strings in Rastall Theory

“…For corrected Hawking temperature, we have choose the only first order terms of α in our calculation. The idea of GUP has been utilized for various BHs in literature [44]- [48].…”