Linear confinement of a scalar particle in a G\"odel-type spacetime

TL;DR

This paper investigates the effects of a linear scalar potential on a relativistic scalar particle confined in a G"odel-type spacetime with a topological defect, analyzing how spacetime vorticity and topology influence energy levels.

Contribution

It introduces a linear scalar potential into the relativistic quantum dynamics within a G"odel-type spacetime, providing analytical solutions and exploring the impact of topology and vorticity.

Findings

Topological defect and vorticity affect energy levels.

Analytical solutions to the Klein-Gordon equation are obtained.

Spacetime properties influence confinement and energy spectrum.

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 G\"odel-type spacetime in the presence of a topological defect. We consider a G\"odel-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.