Modification Study on Quantum Tunneling Radiation of Kinnersley Black Hole

Abstract

In the spacetime of a linearly accelerating Kinnersley black hole, the Lorentz-breaking theory is used to modify the dynamical equations of Dirac particles by selecting gamma matrices and aether-like field vectors in the curved spacetime of this black hole. Using the WKB approximation and black hole quantum tunneling radiation theory, we investigate the characteristics of quantum tunneling radiation in this black hole.By solving the modified spinor field equations, we obtain expressions for the corrected quantum tunneling rate, Hawking temperature, and surface gravitation of the black hole. By studying the particle radial component of the general momentum in this curved spacetime, a new expression for the modified distribution of positive and negative energy levels of Dirac particles, as well as their maximum value of crossing energy level, is obtained. In order to further elucidate the physical significance of the research methodology employed in the article and a series of conclusions obtained, a detailed discussion of the corresponding results is provided in the later sections of this paper.

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].…”