Hawking radiation of Dirac particles via tunneling from Kerr black hole

TL;DR

This paper analyzes the Hawking radiation of Dirac particles from Kerr black holes using tunneling formalism, deriving tunneling probabilities and Hawking temperature consistent with prior research.

Contribution

It applies the WKB approximation to the Dirac equation in Kerr spacetime to derive fermion tunneling probabilities and Hawking temperature, extending previous studies.

Findings

Derived tunneling probability for Dirac particles

Calculated Hawking temperature for Kerr black hole

Results align with previous literature on fermion tunneling

Abstract

We investigated Dirac Particles' Hawking radiation from event horizon of Kerr black hole in terms of the tunneling formalism. Applying WKB approximation to the general covariant Dirac equation in Kerr spacetime background, we obtain the tunneling probability for fermions and Hawking temperature of Kerr black hole. The result obtained by taking the fermion tunneling into account is consistent with the previous literatures.