Research On Lorentz Breaking Theory And Hawking Tunneling Radiation

The general theory of relativity proposed by Einstein solved many difficulties in Newton's theory of gravity.It is generally believed that the general theory of relativity is the correct theory of gravitation on the scale of energy scales involved in humans today.Therefore,even if the gravitational theory needs to be modified,it must meet the conclusion that its theory is consistent with the general theory of relativity on the existing energy scale.But general relativity is not a perfect theory of gravity.In the study of quantum field theory,general relativity is a non-renormalizable gravitational theory,which makes the quantum gravitational theory combined with gravitational theory and quantum theory and the grand unified theory can not be constructed so far,and also prevents human beings from knowing Prang The specific nature of the quantum universe within grams.On the other hand,in the observation research of cosmology today,people find that there is a large amount of dark energy and dark matter in the universe,which cannot be reasonably explained by the existing gravity theory.Therefore,the research on general relativity and modified gravitational theory has become a hot topic in astrophysics.Einstein-Aether theory is a modified gravitational theory with Lorentz symmetry breaking;Horava-Lifshitz gravitational theory is also a modified gravitational theory with Lorentz symmetry breaking.In this article,we mainly describe the characteristics of Einstein's gravitational theory and the thermodynamic evolution of black holes,and modify the black hole quantum tunneling radiation according to the theory of Lorentz symmetry breaking under high energy conditions,so as to study the black hole quantum tunneling radiation and related thermodynamic properties.In the paper,the semi-classical theory is used to prove and obtain the particle dynamics equation in the curved space-time,which is the Hamilton-Jacobi equation,then use its dynamic equation to study the black hole tunneling radiation,temperature,entropy and other physical quantities,we get some meaningful new conclusions.According to the Lorentz Breaking theory,the Klein-Gorden and Dirac equation are corrected.According to the modified equations,the characteristics of Hawking's quantum tunneling radiation have been studied.And some novel conclusions have been obtained,which enriching the content of black hole physics.The main innovations of this paper are: constructing the gamma matrix of fermion dynamic equation according to the metric tensor of different black hole in the curved space-time.According to the Lorentz symmetry breaking theory,the fermions and bosons dynamic equations are modified in the curved space-time.The Hawking temperature of several typical black holes(static high-dimensional AdS black holes and a class of dynamic spherically symmetric black holes)are corrected.This article is divided into five parts.The first chapter giving the research background and significance of this topic after briefly introducing Einstein's gravitational theory and field equations,characteristics and types of black holes,and black hole physics related issues.Chapter second gives an introduction to the progress of astronomical observations of black holes and gravitational waves.The third part using the semi-classical theory to get the dynamic equations of particles which can be described by the Hamilton-Jacobi equation in curved space-time.Then the related thermodynamic properties of black holes are studied.The fourth chapter is to modify the quantum tunneling radiation characteristics and thermodynamic quantities of black holes.First,based on the modified Lorentz dispersion theory,the fermion dynamic equation is modified which is the modified Hamilton-Jacobi equation in the curved space-time.Second,considering the Lorenz symmetry breaking theory,we studied the dynamic characteristics of bosons and fermions.The last chapter is a brief summary of this article and the prospect of future work.