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

Abstract

The thermal radiation of scalar particles and Dirac fermions from squashed charged rotating fivedimensional black holes is considered. To obtain the temperature of the black holes we use the tunnelling method. In the case of scalar particles we make use of the Hamilton-Jacobi equation. To consider tunnelling of fermions the Dirac equation was investigated. The examination shows that the radial parts of the action for scalar particles and fermions in the quasi-classical limit in the vicinity of horizon are almost the same and as a consequence it gives rise to identical expressions for the temperature in the two cases.

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

“…where K = cos θ /(ρK sin θ) [35,36]. Substituting the metric (1), the Maxwell field (2), the ansatz ( 25) and the matrices (26) into the Dirac equation ( 24), the Wentzel-Kramers-Brillouin approximation to the leading order in h yields the equations of motion…”

“…where the temperature T KK and the correction Ξ f are given by the equations ( 5) and (36), respectively. We see that the modified Hawking temperature (38) is determined by the mass M and the charge Q of the squashed Kaluza-Klein black hole, the size of the extra dimension r ∞ , the deformation parameter β 0 , and the energy ω, the mass m, the charge e and the angular momentum L of the emitted fermion.…”

“…To the best our knowledge, Hawking radiation as a tunneling process in the presence of a generalized uncertainty principle has not been discussed in asymptotically Kaluza-Klein spacetimes. Then, in contrast to the previous studies of Hawking radiation from squashed Kaluza-Klein black holes [33][34][35][36], we extend the derivation of Hawking radiation 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, including the phenomenological quantum gravity effects predicted by the generalized uncertainty principle with the minimal measurable length.…”

“…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 [30][31][32], Hawking radiation [33][34][35][36], stabilities [37,38], gyroscope precession [39,40], thin accretion disk [41], x-ray reflection spectroscopy [42], light deflection [43], strong gravitational lensing [44][45][46][47][48] and black hole shadow [49,50].…”

Revisiting the ADT mass of the five-dimensional rotating black holes with squashed horizons

“…[11][12][13][14][15][16][17][18][19][20][21][22]. As a prominent one of them, these black holes have provided opportunities to test several approaches on conserved quantities for various gravity theories, such as the Komar integral, the ADM formalism, the counterterm subtraction method, the (off-shell generalised) Abbott-DeserTekin (ADT) formulation and so on [2][3][4]8,[23][24][25][26][27][28][29][30][31].…”