Modified Hawking temperature and entropy of general stationary black holes by Lorentz invariance violation

Abstract

Correction of Lorentz dispersion relation can be carried out through Lorentz invariance violation (LIV). In the curved space-time with the general stationary black holes, the fermions dynamic equations have been modified more accurately according to the modified Lorenz dispersion relation, and the equations have been solved to obtain a new expression of quantum tunneling rate, black hole Hawking temperature, black hole entropy, and other physical quantities of stationary black holes. These expressions not only are related to factors such as Lorentz invariance violation but also have more contents akin to black hole physics.