Non-inertial effects on relativistic scalar massive charged bosons in a topologically nontrivial space-time and Aharonov–Bohm effect

Abstract

In this work, we study the relativistic quantum motions of spin-zero scalar massive charged bosons in a topologically nontrivial four-dimensional rotating space-time in the presence of a uniform magnetic field and quantum flux. Afterwards, a spin-zero relativistic quantum oscillator model is also studied and determines the bound-state eigenvalue solutions of the quantum system. We see that the energy eigenvalue and the wave function get modified by the nontrivial topology of the geometry, the rotating frame of reference, and the magnetic field. We also observed the gravitational analog of the Aharonov–Bohm (AB) effect due to the dependence of the energy eigenvalue on the geometric quantum phase.