The energy–momentum distributions and relativistic quantum effects on scalar and spin-half particles in a Gödel-type space–time

Abstract

In this article, the energy–momentum distributions associated with a topologically trivial Gödel-type space–time, using different complexes of Møller, Einstein, Landau–Lifshitz, Papapetrou, and Bergmann–Thomson, is evaluated. The results obtained here may support the Cooperstock’s energy localization hypothesis. Finally, we investigate the relativistic quantum effects on scalar and spin-half particles in this space–time without any potential, and analyse the influence of vorticity parameter on the energy eigenvalues of the system.