Eur. Phys. J. Plus (2017) 132: 123
https://doi.org/10.1140/epjp/i2017-11399-6

Regular Article

Fermions in Gödel-type background space-times with torsion and the Landau quantization

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa-PB, Brazil

^* e-mail: furtado@fisica.ufpb.br

Received: 24 November 2016
Accepted: 4 February 2017
Published online: 10 March 2017

Abstract

In this paper, we analyze Dirac fermions in Gödel-type background space-times with torsion. We also consider the Gödel-type space-times embedded in a topological defect background. We show that relativistic bound states solutions to the Dirac equation can be obtained by dealing with three cases of the Gödel-type solutions with torsion, where a cosmic string passes through these three cases of the space-time. We obtain the relativistic energy levels for all cases of the Gödel-type solutions with torsion with a cosmic string, where we show that there exists an analogy with the Landau levels for Dirac particles. We also show that the presence of torsion in the space-time yields new contributions to the relativistic spectrum of energies and that the presence of the topological defect modifies the degeneracy of the relativistic energy levels.