An Improvement for Quantum Tunneling Radiation of Fermions in a Stationary Kerr-Newman Black Hole Spacetime

Abstract

By introducing a specific etheric-like vector in the Dirac equation with Lorentz Invariance Violation (LIV) in the curved spacetime, an improved method for quantum tunneling radiation of fermions is proposed. As an example, we apply this new method to a charged axisymmetric Kerr-Newman black hole. Firstly, considering LIV theory, we derive a modified dynamical equation of fermion with spin 1/2 in the Kerr-Newman black hole spacetime. Then we solve the equation and find the increase or decrease of black hole's Hawking temperature and entropy are related to constants $a$ and $c$ of the Dirac equation with LIV in the curved spacetime. As $c$ is positive, the new Hawking temperature is about $\frac{\sqrt{1+2a+2cm{k}_r^2}}{\sqrt{1+2a}}$ times higher than that without modification, but the entropy will decrease. We also make a brief discussion for the case of high spin fermions.

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Fermions Tunnelling from Black Holes
• Horava-Lifshitz Cosmology: A Review
• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Fermion Tunneling from Dynamical Horizons
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Lorentz Symmetry Violation of Cosmic Photons