Linear confinement of a scalar particle in a Gödel-type spacetime

Abstract

Based on the studies of confinement of quarks, we introduce a linear scalar potential into the relativistic quantum dynamics of a scalar particle. Then, we analyse the linear confinement of a relativistic scalar particle in a Gödel-type spacetime in the presence of a topological defect. We consider a Gödel-type spacetime associated with null curvature, i.e., the Som-Raychaudhuri spacetime, which is characterized by the presence of vorticity in the spacetime. Then, we search for analytical solutions to the Klein-Gordon equation and analyse the influence of the topology of the cosmic string and the vorticity on the relativistic energy levels.

11 pages, no figure. Accepted for publication in EPJC

References in corpus (3)

• Torsion effects on a relativistic position-dependent mass system
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Dirac Equations with Confining Potentials

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