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