Spin-zero system of DKP equation in the background of a flat class of G\"{o}del-type space-time

In this paper, we investigate the Duffin-Kemmer-Petiau (DKP) equation for spin-zero system of charge-free particles in the background of a flat class of G"{o}del-type space-times, and evaluate the individual energy levels and corresponding wave-functions, in details.