Quantum tunneling effect of Dirac particles in a Schwarzschild–Gödel space-time

Abstract

In this paper, motivated by the Kerner and Man fermion tunneling method of 4-dimensional black holes, we further improve the analysis to investigate the quantum tunneling effect of Dirac particles from the five-dimensional Schwarzschild–Gödel black hole. We successfully construct a set of appropriate matrices γμ for the general covariant Dirac equation and derive the tunneling probability and Hawking temperature, which is exactly the same as that obtained by other methods.