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

TL;DR

This paper investigates how quantum gravity effects, modeled by a generalized uncertainty principle, modify Hawking radiation from five-dimensional squashed Kaluza-Klein black holes, potentially leading to stable remnants after evaporation.

Contribution

It introduces a phenomenological correction to Hawking temperature due to the generalized uncertainty principle in squashed Kaluza-Klein black holes, revealing possible stable black hole remnants.

Findings

Hawking temperature corrections depend on particle energy, black hole charge, extra dimension size, and minimal length.

Generalized uncertainty principle can slow temperature increase, suggesting stable remnants.

Hawking radiation sparsity may become infinite near the remnant mass.

Abstract

We study the Hawking radiation from the five-dimensional charged static squashed Kaluza-Klein black hole by the tunneling of charged scalar particles and charged fermions. In contrast to the previous studies of Hawking radiation from squashed Kaluza-Klein black holes, we consider the phenomenological quantum gravity effects predicted by the generalized uncertainty principle with the minimal measurable length. We derive corrections of the Hawking temperature to general relativity, which are related to the energy of the emitted particle, the size of the compact extra dimension, the charge of the black hole and the existence of the minimal length in the squashed Kaluza-Klein geometry. We obtain some known Hawking temperatures in five and four-dimensional black hole spacetimes by taking limits in the modified temperature. We show that the generalized uncertainty principle may slow down the increase of the Hawking temperature due to the radiation, which may lead to the thermodynamic stable remnant of the order of the Planck mass after the evaporation of the squashed Kaluza-Klein black hole. We also find that the sparsity of the Hawking radiation modified by the generalized uncertainty principle may become infinite when the mass of the squashed Kaluza-Klein black hole approaches its remnant mass.