Regular Article - Theoretical Physics
The Dirac equation in a class of topologically trivial flat Gödel-type space-time backgrounds
Ajmal College of Arts and Science, Dhubri, Assam, 783324, India
Accepted: 9 June 2019
Published online: 22 June 2019
In this work, we investigate the behaviour of Dirac particles in a class of Gödel-type space-time backgrounds in the presence of non-minimal coupling of the gravitational field with background curvature. We obtain the allowed energies for this relativistic system by solving analytically the Dirac equation in flat and curved space in a topologically trivial flat Gödel-type metric, and analyze the effects on the energy eiegnvalues.
© The Author(s), 2019