Lorentz Symmetry Breaking And Hawking Tunneling Radiation Of Black Hole

The problem of black hole information loss and the nature of gravity have always been frontier and hot issues in basic physics research.The phenomenological model of quantum gravity is an important part of the development of quantum gravity theory.It provides a very valuable way to study the influence of quantum gravity effect on the properties of physical systems in various scales.This paper combines the Standard Model Extension(SME)in the phenomenological model of quantum gravity with the study of Hawking tunneling radiation of black holes.Study the influence of the Lorentz symmetry breaking effect on the quantum tunneling radiation of the black hole.The research results of this article are as follows:In this paper,the Dirac particles via Hawking tunneling radiation from the charged Garfink-Horne Dilaton black hole was studied based on the Lorentz invariance violating theory of the spinor field,and it found that the effect of the Lorentz-violating modify the thermodynamic properties of the black hole.We first extend the Dirac equation modified by the Lorentz-violating from the flat space-time to the curved space-time of the charged Garfink-Horne Dilaton black hole.Then,by considering the anti-commutative relation of the gamma matric,the correction of Dirac-Hamilton-Jacobi equation is obtained in the Lorentz-violating of the spinor field.It is found that the aether-like term and CFJ term respectively modify the action function S of particles and the mass term in the correction of Dirac-Hamilton-Jacobi equation.According to the modified Dirac-Hamilton-Jacobi equation,the characteristics of Hawking radiation for fermions via tunneling from the event horizon of the charged Garfink-Horne Dilaton black hole are studied.The correction of tunneling probability,Hawking temperature and entropy are obtained by using the correction of Dirac-Hamilton-Jacobi equation.It is interesting to find that the characteristics of fermions'tunneling radiation from the black hole modified by the effect of the Lorentz-violating have nothing to do with the CFJ term and the chiral term,but only with the aether-like term.Kerr-Newman-Taub-Nut stationary black hole has axial symmetry,and its space-time metric is characterized by time axis crossing term.The modified Rarita-Schwinger equation of Kerr-Newman-Taub-Nut black hole in curved space-time is given by considering the modified dispersion relation of Lorentz-violating effect,Then,a modified dynamic equation of fermion with arbitrary spin is obtained by using the semiclassical approximation method.Based on this modified dynamic equation,a modified Hamilton-Jacobian equation with Lorentz-violating effect is obtained,Then,the tunneling radiation at the event horizon and the cosmic horizon is studied by using the modified Hamilton-Jacobian equation,A more accurate modified Hawking temperature containing a high-order small amount of ?(?~2) is obtained.Compared with the unmodified Hawking temperature,the modified Hawking temperature is closely related to the value of the parametersof the Lorentz-violating effect.