We explicitly study and report the effects of the gravitational fields on the spectroscopic structure of Klein–Gordon (KG) particles in Som–Raychaudhuri cosmic string spacetime with space-like dislocation and a magnetic field. We extend this study to include the effects of the gravitational fields on some position-dependent mass (PDM) KG-particles. As effects of the gravitational fields, we report new spacetime associated degeneracies, vorticity-energy correlations and charge-energy correlations. Such degeneracies and correlations are observed in the spectroscopic structure of both constant mass KG-particles and PDM KG-particles at hand.