Hawking temperature of Kerr anti-de-Sitter black hole affected by Lorentz symmetry violating

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. Our results show that Hawking temperature increases with the enhancement of both the coupling strength and the radial component of ether-like field, but is independent of non-radial components of ether-like field. At last, some comments are made on the results of our work.

Automated summary

The quantum tunneling radiation of spin 1/2 fermions in Kerr anti-de-Sitter black holes was studied, with corrections made to the dynamic equation using Lorentz's violation theory. New expressions were obtained for the fermions quantum tunneling rate, black hole's Hawking temperature, and black hole's entropy. It was found that the Hawking temperature increases with the enhancement of coupling strength and radial component of ether-like field, independent of non-radial components.