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

  • G. Q. Garcia
  • J. R. de S. Oliveira
  • K. Bakke
  • C. Furtado
Regular Article

DOI: 10.1140/epjp/i2017-11399-6

Cite this article as:
Garcia, G.Q., de S. Oliveira, J.R., Bakke, K. et al. Eur. Phys. J. Plus (2017) 132: 123. doi:10.1140/epjp/i2017-11399-6


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.

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidade Federal da ParaíbaJoão Pessoa-PBBrazil