Hawking Radiation via Damour-Ruffini Method in Squashed Charged Rotating Kaluza-Klein Black Holes

Abstract

Using the Damour-Ruffini method, Hawking radiation of charged particles from squashed charged rotating five-dimensional Kaluza-Klein black holes is investigated extensively. Under the generalized tortoise coordinate transformation, Hawking temperature of the black holes is calculated by using charged scalar particles and Dirac fermions respectively. We find that the obtained Hawking temperature for charged Dirac fermions is the same as for charged scalar particles. What's more, the spectrum of Hawking radiation contains the information of the size of the extra dimension, which could provide insight for further investigation of large extra dimensions in the future.

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.…”

“…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],…”