https://doi.org/10.1140/epjc/s10052-018-5524-7
Regular Article - Theoretical Physics
Linear confinement of a scalar particle in a Gödel-type spacetime
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa-PB, 58051-900, Brazil
* e-mail: kbakke@fisica.ufpb.br
Received:
21
June
2017
Accepted:
4
January
2018
Published online:
19
January
2018
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.
© The Author(s), 2018
