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

在本文中，我们将考虑麦克斯韦理论与非局部因素耦合的宇宙学含义 $ü（\mathrm{1个}）$不对称项 众所周知，平面时空理论简化为Proca理论。但是，将表明，在弯曲的时空条件下，所得理论将与耦合的爱因斯坦-普罗卡系统不同。还考虑了de Sitter时空之上的宇宙扰动，并将详细研究各个模式的动力学。还研究了该模型的各向异性宇宙学，我们将证明晚时宇宙的行为可以满足观测数据，并且该模型可以预测出各向同性的宇宙。