Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces

TL;DR

This paper extends fermion tunnelling methods to analyze Hawking radiation from rotating black holes in de Sitter spaces, successfully deriving Hawking temperatures at both event and cosmological horizons using Dirac particles.

Contribution

It improves upon previous tunnelling methods by applying them to rotating black holes in de Sitter spaces with Dirac particles, providing a more comprehensive understanding of Hawking radiation.

Findings

Hawking temperatures at the event horizon are derived via Dirac particle tunnelling.

Hawking temperatures at the cosmological horizon are obtained using the improved method.

The method applies to Kerr de Sitter and Kerr-Newman de Sitter black holes.

Abstract

Hawking radiation from black hole horizon can be viewed as a quantum tunnelling process, and fermions via tunnelling can successfully recover Hawking temperature. In this paper, considering the tunnelling particles with spin 1/2 (namely, Dirac particles), we further improve Kerner and Man's fermion tunnelling method to study Hawking radiation via tunnelling from rotating black holes in de Sitter spaces, specifically including that from Kerr de Sitter black hole and Kerr-Newman de Sitter black hole. As a result, Hawking temperatures at the event horizon (EH) and the cosmological horizon (CH) are well described via Dirac particles tunnelling.