The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole

Abstract

In this study, the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation formed by tunneling of a massive vector boson particle from the 2+1 dimensional new-type black hole was investigated. We used modified massive vector boson equation based on the GUP. Then, the Hamilton-Jacobi quantum tunneling approach was used to work out the tunneling probability of the massive vector boson particle and Hawking temperature of the black hole. Due to the GUP effect, the modified Hawking temperature was found to depend on the black hole properties, on the AdS 3 radius, and on the energy, mass, and total angular momentum of the tunneling massive vector boson. In the light of these results, we also observed that modified Hawking temperature increases by the total angular momentum of the particle while it decreases by the energy and mass of the particle and the graviton mass. Also, in the context of the GUP, we see that the Hawking temperature due to the tunneling massive vector boson is completely different from both that of the spin-0 scalar and that of the spin-1/2 Dirac particles obtained in the previous study. We also calculate the heat capacity of the black hole using the modified Hawking temperature and then discuss influence of the GUP on the stability of the black hole.

Hawking radiation from cubic and quartic black holes via tunneling of GUP corrected scalar and fermion particles

“…In order to investigate the quantum tunneling of fermion particles for hairy BH, the Dirac equation is given as follows [74] iγ ν ∂ ν +Ω ν Ψ + m 0 h Ψ = 0, ν = 0, 1, 2, 3…”

Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole

“…Using the procedure that applied in [15,16,17], in the presence of the quantum gravity effect, the Hawking temperature of CR-BTZ black hole is obtained as…”

“…Thus, using the procedure that applied in [14], the modified Hawking temperature of the CR-BTZ black hole obtained as…”

“…, Ω + is the angular velocity of the outer horizon, and E, j and W (r)=W 0 (r) + βW 1 (r) are energy, angular momentum and radial trajectory of the particle, respectively [15,16,52]. After some calculations, the radial trajectory W ± (r) are obtained as…”

Quantum Gravity Effect on the Tunneling Particles from 2 + 1-Dimensional New-Type Black Hole

“…The GUP relations are of great help to understand the nature of a black hole since quantum effects are the essential effects near the event horizon of a black hole. Recently, to investigate the quantum effects under the GUP relations, the thermodynamics properties of various black holes have been studied by using the quantum tunneling process of particles with various spins [46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]. These studies indicate that the modify Hawking radiation depends not only on the black hole's properties but also on the intrinsic properties of the tunneling particle.…”