Abstract
The main object of the present paper is to investigate the Dirac equation (Dirac fermions) in presence of scalar and vector potential in a class of flat Gödel-type space-time called Som–Raychaudhuri space-time by using the methods quasi-exactly solvable (QES) differential equations and the Nikiforov Uvarov (NU) form. In addition, we evaluate the Einstein, and the Papapetrou.
Highlights
Several researchers have been investigated the physical properties of a series of backgrounds with the Som Raychaudhuri space-time
Properties of the rotating Som–Raychaudhuri homogeneous space-time, relativistic quantum dynamics of spin-zero particles in Som– Raychaudhuri space-time under the influence of the gravitational field produced by a topology [11], the Klein–Gordon oscillator in Som–Raychaudhuri space-time with a cosmic dispiration [12], linear confinement of a scalar particle in Som–Raychaudhuri space-time [13], linear confinement of a scalar particle in a topologically trivial flat Gödel-type spacetime [14]
In Refs. [16,17] the quantum dynamics of scalar particles in a class of Gödel-type solutions, were investigated. They observed the similarity of the energy levels with the Landau problem in flat, spherical and hyperbolic spaces
Summary
Several researchers have been investigated the physical properties of a series of backgrounds with the Som Raychaudhuri space-time. [16,17] the quantum dynamics of scalar particles in a class of Gödel-type solutions, were investigated They observed the similarity of the energy levels with the Landau problem in flat, spherical and hyperbolic spaces. [19] the quantum dynamics of spin-half particles (Dirac fermions) in Som–Raychaudhuri background space-time with torsion and a cosmic string passing through them, were investiagted. The Klein–Gordon equation with a vector and a scalar potentials of Coulomb-type under the influence of non-inertial effects in the cosmic string space-time, were investigated in Ref. The quantum dynamics of spin-half particles (Dirac fermions) by solving the Dirac equation in the presence of scalar and vector potentials in Som– Raychaudhuri space-time, are study in details. We try to evaluate the energy and momentum distributions in the Som–Raychaudhuri spacetime Eq (2.1) using the known pseudotensor, the Landau– Lifshitz complex, the Einstein complex, and the Papapetrou complex [30,38,39,40]
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