Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole

We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking temperature for the 2+1 dimensional New-type black hole by using the quantum tunneling method for both the spin-1/2 Dirac and the spin-0 scalar particles. In computation of the GUP correction for the Hawking temperature of the black hole, we modified Dirac and Klein-Gordon equations. We observed that the modified Hawking temperature of the black hole depends not only on the black hole properties, but also on the graviton mass and the intrinsic properties of the tunneling particle, such as total angular momentum, energy and mass. Also, we see that the Hawking temperature was found to be probed by these particles in different manners. The modified Hawking temperature for the scalar particle seems to be lower compared to its standard Hawking temperature. Also, we find that the modified Hawking temperature of the black hole caused by Dirac particle's tunnelling rised by the total angular momentum of the particle. It is diminishable by the energy and mass of the particle and graviton mass as well. These intrinsic properties of the particle, except total angular momentum for the Dirac particle, and graviton mass may cause screening for the black hole radiation.Comment: 11 page

The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole

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, 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 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 tunnelling massive vector boson is completely different from both that of the spin-0 scalar and 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.Comment: 11 pages, accepted for publication for Advances in High Energy Physic

The GUP effect on Hawking Radiation of the 2+1 dimensional Black Hole

We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation of the 2+1 dimensional Martinez-Zanelli black hole by using the Hamilton-Jacobi method. In this connection, we discuss the tunnelling probabilities and Hawking temperature of the spin-1/2 and spin-0 particles for the black hole. Therefore, we use the modified Klein-Gordon and Dirac equations based on the GUP. Then, we observe that the Hawking temperature of the scalar and Dirac particles depend on not only the black hole properties, but also the properties of the tunnelling particle, such as angular momentum, energy and mass. And, in this situation, we see that the tunnellig probability and the Hawking radiation of the Dirac particle is different from that of the scalar particle.Comment: 9 page

MS

thesisKenilworth is situated in Carbon County, Utah, three miles east of Helper and is served by a branch line of the Denver and Rio Grande Western Railroad that Joins the main line at Helper, Utah. The coal mine was first established by the Utah Fuel Company and has been operated since 1907. Geology The rocks exposed in this area belong to the Cretaceous, Tertiary, and Quaternary periods. The exposed upper Cretaceous beds are the Mancos shale. The Tertiary (Eocene) beds are the Wasatch formation, and the Quaternary beds are the terrace gravels and alluvium. The rocks dip about 6° North. The coal-bearing rocks are affected by a few faults; however, their displacement is small. Their vertical movement is not more than, 25 feet, and mining operations are not greatly disturbed by the faulting. The faults trend N 70° E or N 70° W. The coal, which is bituminous, crops out along the walls of the canyon. There are at least six known coal seams: Castlegate "A," 'Castlegate "B," Royal Blue, Castlegate "C," Kenilworth (Castlegate "D"), and a coal bed "?," having different thicknesses from 3 to 18 feet. The upper "D" seam is being mined at present. It dips about 6° to the north and northeast and has a thickness of 9 to 15 feet

Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole

We carry out the Hawking temperature of a (2+1) dimensional circularly symmetric traversable wormhole in the framework of the generalized uncertainty principle (GUP). Firstly, we introduce the modified Klein-Gordon equation of the spin-0 particle, the modified Dirac equation of the spin-1/2 particle, and the modified vector boson equation of the spin-1 particle in the wormhole background, respectively. Given these equations under the Hamilton-Jacobi approach, we analyze the GUP effect on the tunneling probability of these particles near the trapping horizon, and subsequently, on the Hawking temperature of the wormhole. Furthermore, we have found that the modified Hawking temperature of the wormhole is determined by both wormhole's and tunneling particle's properties and indicated that the wormhole has a positive temperature similar to that of a physical system. This case indicates that the wormhole may be supported by ordinary (non-exotic) matter. In addition, we calculate the Unruh-Verlinde temperature of the wormhole by using Kodama vectors instead of time-like Killing vectors, and observe that it equals to the standard Hawking temperature of the wormhole.Comment: 16 pages, accepted for publication in Adv. High Energy Phy