Lorentz-breaking Theory and Tunneling Radiation Correction to Vaidya-Banner de Sitter Black Hole

TL;DR

This paper investigates how Lorentz symmetry breaking influences tunneling radiation from Vaidya-Bonner de Sitter black holes, leading to corrected expressions for surface gravity, Hawking temperature, and tunneling rates.

Contribution

It introduces modified Dirac and Klein-Gordon equations incorporating Lorentz violation effects in curved spacetime for black hole tunneling analysis.

Findings

Corrected surface gravity and Hawking temperature expressions.

Modified tunneling rate formulas accounting for Lorentz symmetry breaking.

Discussion of the impact of Lorentz violation on black hole radiation properties.

Abstract

In Vaidya-Bonner de Sitter Black hole space-time, the tunneling radiation characteristics of fermions and bosons are corrected by taking Lorentz symmetry breaking theory into account. The corresponding gamma matrices and ether-like field vectors of the black hole are constructed, then the new modified form of Dirac equation for the fermion with spin 1/2 and the new modified form of Klein-Gordon equation for boson in the curved space-time of the black hole are obtained. Through solving the two equations, new and corrected expressions of surface gravity, Hawking temperature and tunneling rate of the black hole are obtained, and the results obtained are also discussed.