Cosmology of the non-local Proca theory

In this paper, we will consider cosmological implications of the Maxwell theory coupled to a non-local U(1)-symmetric term. It is well-known that in flat space–time, reduces Proca theory. However, it be shown curved space–time resulting differ from Einstein–Proca system. The perturbations on top de Sitter also considered and dynamics separate modes investigated details. Anisotropic cosmology model show behavior universe at late time satisfies observational data predicts an isotropic universe.