Modification of the dynamic equation and tunneling radiation of fermions with arbitrary spin in Kerr-Newman-Kasuya black hole space-time

Abstract

According to the Lorentz Invariance Violation originated from the quantum gravitational theory and the string theory, the Rarita-Schwinger equation of arbitrary spin fermions are exactly modified in the high energy case. Then we restudy the dynamic equation of fermions with arbitrary spin in charged Kerr-Newman-Kasuya (KNK) black hole space-time. Moreover, the tunneling radiation characteristics of fermions are studied according to the modified dynamic equation. Therefore, some new expressions for physical quantities such as tunneling rate, surface gravitation, Hawking temperature and entropy of the black hole are corrected. As a result, we calculate that the surface gravitation at the event horizon of the KNK black hole is a constant, and find that the Hawking temperature will increase, but the entropy will decrease with the increasing of correction parameter.

Correction of Lorentz breaking theory to quantum tunneling radiation and entropy of black hole in gravity’s rainbow

“…The dynamic equation of fermions with different spin is dissimilar. In the flat space-time, the dynamic equation of fermions has been studied with some meaningful corrections [45][46][47].…”

Correction of Kerr-Sen Black Hole Temperature and Entropy by Lorentz Invariance Violation*

“…Then, the method of simplifying tunneling radiation research by using Hamilton-Jaccobi equation was proposed and widely used [1][2][3][4]. In the field of high energy, according to LIV, the tunneling radiation of fermions needs further correction, which makes the problems related to the tunneling radiation of black holes still have important significance [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Modification entropy of Kerr–Sen-like black hole in Lorentz-breaking bumblebee gravity

“…We consider two impacts of Lorentz symmetry breaking in curved space-time, namely, the impact on the space-time background and the influence on the dynamic equations of bosons and fermions in curved space-time. Without the Lorentz-breaking modification for the space-time background, people have modified the dynamic equations of bosons and fermions in static, stationary, and non-stationary black hole space-time with Lorentzbreaking modification and carried out a series of meaningful research works on related topics [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. [1,2] show that in the Einstein-bumblebee gravity theory, due to the influence of Lorentz-breaking on the space-time background, the space-time metric of the stationary Kerr-Sen-like black hole is modified to a certain extent.…”