Lorentz Invariance Violation and Modified Hawking Fermions Tunneling from Black Strings

TL;DR

This paper explores how Lorentz invariance violation affects fermion tunneling and Hawking radiation from black strings by generalizing the modified Dirac equation in curved spacetime, leading to corrected thermodynamic properties.

Contribution

It introduces a generalized modified Dirac equation in curved spacetime to study fermion tunneling from black strings under Lorentz invariance violation.

Findings

Derived correctional Hawking temperature for black strings.

Obtained modified black hole entropy considering Lorentz violation.

Provided semi-classical approximation for tunneling process.

Abstract

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been generalized in curved spacetime, and then fermion tunneling of black strings is researched under this correctional Dirac field theory. We also use semi-classical approximation method to get correctional Hamilton-Jacobi equation, so that the correctional Hawking temperature and correctional black hole's entropy are derived.