Fermions tunnelling from the charged dilatonic black holes

Abstract

Kerner and Mann's recent work shows that, for an uncharged and non-rotating black hole, its Hawking temperature can be correctly derived by fermions tunnelling from its horizons. In this paper, our main work is to improve the analysis to deal with charged fermion tunnelling from the general dilatonic black holes, specifically including the charged, spherically symmetric dilatonic black hole, the rotating Einstein-Maxwell-Dilaton-Axion (EMDA) black hole and the rotating Kaluza-Klein (KK) black hole. As a result, the correct Hawking temperatures are well recovered by charged fermions tunnelling from these black holes.

Tunnelling of scalar and Dirac particles from squashed charged rotating Kaluza–Klein black holes

“…In the limit when the Gödel parameter is equal to zero ( j = 0) the obtained relation (45) can be represented in the form (31).…”

“…Different aspects of Kaluza-Klein black holes were also considered, namely thermodynamics [39][40][41], Hawking radiation and the tunnelling method [42][43][44][45][46][47][48], quasinormal modes and stabilities [49][50][51][52][53], geodetic precession [54] and gravitational lensing [55].…”

Effects of quantum gravity on black holes

“…Impose this operator on the spin network states ψ s . Thus we get 37) where I denotes the edge of the spin networks and j I is a positive half integer. In string theory, we quantize the world sheet in the Ricci flat target space.…”

“…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].…”