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

Abstract

Considering the Lorentz breaking theory, the correct modified forms of the dynamic equations of bosons and fermions in curved space-time can be studied. For the new form of fermions dynamic equation through spin 1/2 Dirac particles in the black hole space-time in gravity’s rainbow, by introducing aether-like vector field and correctly constructing gamma matrix, new meaningful expressions of Hawking temperature, tunneling rate and Bekenstein-Hawking entropy of this black hole are obtained. In addition, the distribution characteristics of the energy levels of Dirac particles are also studied, and meaningful results are obtained. The research results show that the Lorentz breaking terms will cause a certain degree of correction to the tunneling radiation of fermions in the curved space-time of the black hole.

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

“…In the previous literature on the modification of the quantum tunneling radiation of the black hole by Lorentz-breaking, the modification of the space-time background by Lorentz-breaking was generally not considered [12][13][14][15]. Therefore, the novelty of the abovementioned research content is that the Lorentz-breaking modification of space-time background and the fermion dynamics equation are taken into account at the same time, and a series of novel outcomes are obtained.…”

“…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.…”

Corrections to the Bekenstein–Hawking Entropy of the HNUTKN Black Hole Due to Lorentz-Breaking Fermionic Einstein–Aether Theory

“…The effects of Lorentz-breaking on steady-state axisymmetric spacetime backgrounds are reflected in the spacetime metric [16]. Considering Lorentz breaking, modifications to the dynamical equations of bosons and fermions and in-depth studies of the quantum tunneling radiation characteristics of different black holes in specific curved spacetime backgrounds are topics worth exploring [17][18][19]. Through such research, we can delve into the entropy of black holes and gain a profound understanding of the physical significance of black hole entropy and information.…”