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

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