Lorentz symmetry violation and accurate correction of bosons Hawking tunneling radiation for a stationary axisymmetric black hole

Abstract

We study the characteristics of the quantum tunneling radiation of scalar bosons in the stationary Kerr-anti-de Sitter black hole based on Lorentz symmetry violation theory. First, the Klein-Gordon equation and Hamilton-Jacobi equation of bosons that are corrected by Lorentz symmetry violation theory in curved space-time are obtained. After solving the corrected dynamic equation of bosons, it is shown that the Lorentz-violating theory has an effect on the stationary Kerr-anti-de Sitter black hole's Hawking tunneling radiation rate, temperature and entropy. At last, some comments are made on the results of our work.