Influence of Lorentz Invariation Violation on Arbitrarily Spin Fermions Tunneling Radiation in the Vaidya-Bonner Spacetime

TL;DR

This paper investigates how Lorentz invariance violation affects Hawking radiation for fermions of any spin in a dynamic Vaidya-Bonner black hole, revealing increased temperature and decreased entropy due to the modification.

Contribution

It derives a modified dynamic equation for arbitrarily spinning fermions considering Lorentz invariance violation in a non-stationary spacetime, and analyzes its impact on Hawking radiation.

Findings

Hawking temperature increases with Lorentz invariance violation.

Black hole entropy decreases due to the modification.

Modified tunneling rate differs from the standard case.

Abstract

In the spacetime of non-stationary spherical symmetry Vaidya-Bonner black hole, an accurate modification of Hawking tunneling radiation for fermions with arbitrarily spin is researched. Considering a light dispersion relationship derived from string theory, quantum gravitational theory and Rarita-Schwinger Equation in the non-stationary spherical symmetry spacetime, we derive an accurately modified dynamic equation for fermions with arbitrarily spin. By solving the equation, modified tunneling rate of fermions with arbitrarily spin, Hawking temperature and entropy at the event horizon of Vaidya-Bonner black hole are presented. We find the Hawking temperature will increase, but the the entropy will decrease comparing with the case without Lorentz Invariation Violation modification.