Lorentz symmetry violation and the tunneling radiation of fermions with spin $1/2$ for Kerr Anti-de-Sitter black hole

TL;DR

This paper investigates how Lorentz symmetry violation affects fermion tunneling radiation, Hawking temperature, and entropy in Kerr Anti-de-Sitter black holes, providing corrected formulas and insights into quantum effects near such black holes.

Contribution

It introduces a Lorentz violation correction to the fermion dynamic equation and derives new expressions for tunneling rate, temperature, and entropy of Kerr Anti-de-Sitter black holes.

Findings

Lorentz violation modifies fermion tunneling rates

New expressions for Hawking temperature and entropy are derived

Results offer insights into quantum effects in black hole physics

Abstract

We studied the correction of the quantum tunneling radiation of fermions with spin $1/2$ in Kerr Anti-de-Sitter black hole. First, the dynamic equation of spin $1/2$ fermions was corrected using Lorentz's violation theory. Second, the new expressions of the fermions quantum tunneling rate, the Hawking temperature of the black hole and the entropy of the black hole were obtained according to the corrected fermions dynamic equation. At last, some comments are made on the results of our work.