# Tunneling of massive vector particles under influence of quantum gravity

• 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 $T'_{H}$ 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.

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. doi: 10.1088/1674-1137/44/1/015104
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Revised: 2019-10-20
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Tunneling of massive vector particles under influence of quantum gravity

###### Corresponding author: Ali Övgün, ali.ovgun@pucv.cl
• 1. Division of Science and Technology, University of Education, Township-Lahore, Pakistan
• 2. Department of Mathematics, Government College, University Faisalabad Layyah Campus, Layyah-31200, Pakistan
• 3. Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso, Chile
• 4. Physics Department, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, North Cyprus, via Mersin 10, Turkey

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 $T'_{H}$ 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.

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