Gravitational field effects produced by topologically nontrivial rotating space–time under magnetic and quantum flux fields on quantum oscillator

Abstract

In this paper, we study the gravitational field effects produced by a topologically nontrivial four-dimensional geometry on a relativistic quantum oscillator in the presence of a uniform magnetic field and quantum flux. We introduced the noninertial effects of a rotating frame of reference and solved analytically the generalized KG-oscillator for Coulomb- and Cornell-type potential functions using the Nikiforov–Uvarov method. We discuss the effects of the rotating frame, the nontrivial topology and the external magnetic field on the eigenvalue solutions of the oscillator fields.