Generalized Vector Boson Oscillator in (1+2)-Dimensional Gürses Space-Time

In this paper, we study the effects of rotational symmetry on the relativistic quantum dynamics of generalized vector bosons oscillator (GVBO) in the background of (1+2)-dimensional Gürses space-time. We derived the radial wave equation and obtained its solution of the wave function and the energy levels through the Whittaker equation. We investigate how the non-trivial topology due to the rotational symmetry of the curved space-time modifies the energy spectrum and the wave function of vector bosons without or via Duffin-Kemmer-Petiau (DKP) oscillator description in comparison to the flat space result. (author)