In this paper,we investigate the relativistic quantum dynamics of spin-0 massive charged particles in a G(o)del-type space-time with electromagnetic interactions.We derive the radial wave equation of the Klein-Gordon equation with an internal magnetic flux field and Coulombtype potential in the Som-Raychaudhuri space-time with cosmic string.We solve this equation and analyze the analog effect in relation to the Aharonov-Bohm effect for bound states.