Thermal Correction to the Kinnersley Black Hole in a Lorentz-Violating Dirac Field Theory

Zhi-E Liu,Jie Zhang,Shu-Zheng Yang

doi:10.3389/fphy.2021.762279

Abstract

According to Lorentz-violating theory, the dynamical equation of Dirac particles in the Kinnersley black hole with variably accelerated linear motion is modified. The Hawking quantum tunneling radiation characteristics of Kinnersley black hole are obtained by solving the modified equation. The expression of the Hawking temperature of Kinnersley black hole has been updated.

Highlights

People have made many meaningful researches on the quantum tunneling radiation of black holes [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. These researches have enriched us with knowledge about the thermodynamic evolution of black holes
We introduce the modification of Lorentz violating Dirac field theory to Dirac particle dynamics equation in the Kinnersley space-time
Based on the Lorentz symmetric violating theory, the semiclassical theory and the quantum tunneling radiation theory, we get the dynamical equation of Dirac particles by studying Eq 1, namely the Dirac-Hamilton-Jacobi equation shown as Eq 14 or Eq 16

Summary

INTRODUCTION

People have made many meaningful researches on the quantum tunneling radiation of black holes [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. Kerner and Mann used the semiclassical theory to study the quantum tunneling radiation characteristic of Dirac field particles in black hole [16, 17] They divided the fermion spin into up and down and decomposed the Dirac equations into two groups, obtained the tunneling rate of Dirac particles at the event horizon and the Hawking temperature of black hole. In 2009, Lin and Yang proposed a new method to study the quantum tunneling radiation of black hole They transformed the Dirac equation in curved space-time into a matrix equation by using the semiclassical approximation theory, and the resulting matrix equation was further converted to the Hamilton-Jacobi equation for Dirac particles in curved space-time by using the commutation relation of gamma matrices. We introduce the modification of Lorentz violating Dirac field theory to Dirac particle dynamics equation in the Kinnersley space-time. The last section gives a discussion on the results obtained in this paper

LORENTZ’S VIOLATING THEORY AND DIRAC EQUATION IN DYNAMICAL

CONCLUSION

DATA AVAILABILITY STATEMENT