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

TL;DR

This paper investigates Dirac fermions in G"odel-type spacetimes with torsion and topological defects, revealing how these features influence relativistic bound states and energy spectra, including Landau-like levels.

Contribution

It introduces a detailed analysis of Dirac fermions in G"odel-type backgrounds with torsion and topological defects, deriving energy levels and highlighting torsion's effects on spectra.

Findings

Relativistic bound states are obtained for G"odel-type spacetimes with torsion.

Presence of torsion modifies the relativistic energy spectrum.

Topological defects affect the degeneracy of energy levels.

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.