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

Abstract

In this paper, we analyze Dirac fermions in Gödel-type background space-times with torsion. We also consider the Gödel-type spacetimes 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.

arXiv comment26 pages, no figures, version published in EPJPlus

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• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Graphene wormhole trapped by external magnetic field
• Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• PDM Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime background
• Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
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• On the Klein-Gordon scalar field oscillators in a spacetime with spiral-like dislocations in external magnetic fields
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• Rotation effects on the graphene wormhole energy levels
• Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds
• On the Klein-Gordon Gürses-oscillators and pseudo-Gürses-oscillators: vorticity-energy correlations and spacetime associated degeneracies
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity