Relativistic quantum dynamics of spin-0 system of the DKP oscillator in a G\"{o}del-type space-time

Abstract

In this article, we study the DKP equation for the oscillator in a G\"{o}del-type space-time background. We derive the final form of this equation in a flat class of G\"{o}del-type space-time and solve it analytically, and evaluate the eigenvalues and corresponding eigenfunctions, in detail.