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

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.

Effects of quantum gravity on black holes

“…The subsequent work in the virous spacetimes can be found in Refs. [31,32,33,34,35,36,38,37,39,40,41,42,43,44].…”

Charged fermion tunneling from electrically and magnetically charged rotating black hole in de Sitter space

“…In their seminal work, Kerner and Mann used the Dirac equation instead of the HamiltonJacobi one to obtain the temperature of the emitted fermions and showed that for a chosen type of spacetime the temperature of the emitted fermions would be the same as the temperature of scalar particles [17]. That method was later applied to different kinds of black hole spacetimes, including the Reissner-Nordström one [18], the Kerr-Newman one [19,20], dilatonic black holes [21], BTZ black holes [22], black holes in Hořava-Lifshitz gravity [23,24], accelerating and rotating black holes [25,26], and rotating black strings [27].…”

“…[19,20]. We consider emission of a charged spin 1/2 particle from a Kerr-Newman-de Sitter black hole which carries both electric and magnetic charges (dyonic black hole).…”

“…In order to make these equations simpler, they are decomposed into the series near the horizon surface [19,20] (here the decomposition in the vicinity of the event horizon is represented):…”

Hawking non-thermal and thermal radiations of Schwarzschild anti-de Sitter black hole by Hamilton-Jacobi method

“…Both the methods show that when the self-gravitational interaction and the unfixed background spacetime are taken into account, the actual Hawking radiation spectrum deviates from the purely thermal one, satisfies the underlying unitary theory and gives a leading correction to the radiation spectrum. Extending these methods to general case, a lot of works for various spacetimes have been done [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41] and all of these are limited to massless particle.…”