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arXiv · 1607.00456

Fermions in G\"odel-type background space-times with torsion and the Landau quantization

G. Q. Garcia·J. R. de S. Oliveira·K. Bakke·C. Furtado
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Abstract

In this paper, we analyze Dirac fermions in G\"odel-type background space-times with torsion. We also consider the G\"odel-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 G\"odel-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 G\"odel-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.

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G. Q. Garcia, J. R. de S. Oliveira, K. Bakke, C. Furtado. 2016-07-02. Fermions in G\"odel-type background space-times with torsion and the Landau quantization. https://doi.org/10.1140/epjp/i2017-11399-6

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