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 analyze 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 analyze the influence of the topology of the cosmic string and the vorticity on the relativistic energy levels.
Highlights
The first solution to Einstein’s equations that considers the rotation of a homogeneous mass distribution with cylindrical symmetry was given by Gödel [1]
Rebouças et al [4,5,6] analyzed the problem of causality and established three classes of solutions that are characterized by the following properties: (i) solutions with no closed timelike curves (CTCs); (ii) solutions with a sequence of causal regions and not causal regions that alternates with each other; (iii) solutions characterized by only one non-causal region
We have investigated the influence of the vorticity and a topological defect on the linear confinement of a relativistic scalar particle
Summary
The first solution to Einstein’s equations that considers the rotation of a homogeneous mass distribution with cylindrical symmetry was given by Gödel [1]. They analyzed the similarity between the spectrum of the energy of a scalar quantum particle in these class of Gödel-type spacetimes and the Landau levels in curved backgrounds This similarity has been observed by Das and Gegenberg [9] by studying the Klein–Gordon equation in the Som–Raychaudhuri spacetime (Gödel flat solution). The Schwarzschild spacetime with a cosmic string [11,12], the Kerr spacetime with a cosmic string [13], Gödel-type spacetime with a cosmic string [10] and the cosmic string in AdS space [14] It is worth mentioning the studies of a scalar quantum particle confined in two concentric thin shells in curved spacetime backgrounds with a cosmic string [15], the Klein–Gordon oscillator in a Som–Raychaudhuri spacetime with a cosmic dispiration [16], and fermions in a family of Gödel-type solutions with a cosmic string [17]. It is worth to observe that the investigation of the influence of the topology of the cosmic string spacetime on the linear confinement of the scalar particle made in this work can be useful
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
