Fermion tunneling from squashed black holes in the Gödel universe and charged Kaluza—Klein space—time

Abstract

This paper is devoted to the investigation the fermion tunneling radiation of squashed black holes in the Gödel universe and charged Kaluza-Klein space-time. For black holes with different dimensions, establishing a set of appropriate matrices γ µ for the general covariant Dirac equation plays an important role in the semi-classical tunneling method. By constructing two sets of γ µ matrices, we have successfully derived the tunneling probability and Hawking temperature of the black holes.

Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle

“…In the present work, we extend the derivation of Hawking radiation with a generalized uncertainty principle correction on the basis of the tunneling mechanism in four-dimensional black hole spacetimes to the case of the five-dimensional squashed Kaluza-Klein black hole. Then, in contrast to the previous studies [100][101][102][103][104][105][106][107][108][109][110][111], we obtain both the desired result of the Hawking temperature and the quantum effects related to the energy of the emitted particle and the generalized uncertainty principle in the squashed Kaluza-Klein geometry. This paper is organized as follows.…”

“…where K = cos θ /(ρK sin θ) [106,109]. Substituting the metric (1), the Maxwell field (2), the ansatz (11) and the matrices (12) into the Dirac equation ( 10), the Wentzel-Kramers-Brillouin approximation to the leading order in yields the equations of motion…”

“…Then we can regard a series of squashed Kaluza-Klein black hole solutions with a twisted compactified extra dimension as one of realistic higher-dimensional black hole models. Several aspects of squashed Kaluza-Klein black holes have been discussed, for example, thermodynamics [92][93][94][95][96][97][98][99], Hawking radiation [100][101][102][103][104][105][106][107][108][109][110][111], stabilities [112,113],…”

Massless Spin–Zero Particle and the Classical Action via Hamilton–Jacobi Equation in Gödel Universe

“…Rotating Gödel metric has hidden conformal symmetry [15]. Further, there are many papers on physical aspects of this metric [16][17][18]. There is a class of D-dimensional metrics which were introduced and christened as Gödel type metrics, and used for producing new solutions to various gravitational theories in diverse dimensions [19,20].…”

Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons

“…In recent years, there are also a lot of attention being paid to various aspects of squashed Kaluza-Klein black holes. For example, thermodynamical properties [12,13,14,15,16,17], Hawking radiation [6,18,19,20,21,22,23], perturbation stability [24,25,26], quasinormal modes [27,28], gravitational lens [29,30,31], geodesic motion [32] and Kerr/CFT correspondence [17] have been investigated for this kind of black holes in recent years. In particular, Cai et al, [12] first adopted the boundary counter-term method [33,34] to investigate thermodynamics of the static charged, squashed Kaluza-Klein black holes found in Ref.…”