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arXiv · 1801.05718

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

R. L. L. Vitória·C. Furtado·K. Bakke
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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.

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R. L. L. Vitória, C. Furtado, K. Bakke. 2018-01-16. Linear confinement of a scalar particle in a Gödel-type spacetime. https://doi.org/10.1140/epjc%2Fs10052-018-5524-7

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