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In this study, we survey the generalized Duffin-Kemmer-Petiau oscillatorcontaining a non-minimal coupling interaction in the context of rainbow gravityin the presence of cosmic topological defects in space-time. In this regard, weintend to investigate relativistic quantum dynamics of a spin-0 particle underthe modification of the dispersion relation according to the Katanaev-Volovichgeometric approach. Thus, based on the geometric model, we study theaforementioned bosonic system under the modified background by a few rainbowfunctions. In this way, by using an analytical method, we acquire energyeigenvalues and corresponding wave functions corresponding to each scenario.Regardless of rainbow gravity function selection, the energy eigenvalue canpresent symmetric, anti-symmetric, and symmetry breaking characteristics.Besides, one can see that the deficit angular parameter plays an important rolein the solutions.

Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity