In this study, we consider a cosmological model for the Maxwell gravity which is constructed by gauging the semi-simple extended Poincaré algebra. Inspired by the Einstein–Yang–Mills theory, we describe the Maxwell gauge field in terms of two additional time-dependent scalar fields. Within the context of a homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker universe, we derive the Friedmann equations together with new contributions. Additionally, we examine the modified Friedmann equation to demonstrate how diverse cosmological scenarios can be achieved within this framework. Moreover, we investigate the gauge theory of gravity based on the Maxwell algebra and show that this model leads to the (anti)-de Sitter universe as well as a non-accelerated universe model.

在这项研究中，我们考虑了麦克斯韦引力的宇宙学模型，该模型是通过测量半简单扩展庞加莱代数而构建的。受爱因斯坦-杨-米尔斯理论的启发，我们用两个附加的时间相关标量场来描述麦克斯韦规范场。在均匀且各向同性的弗里德曼-勒梅特-罗伯逊-沃克宇宙的背景下，我们推导了弗里德曼方程以及新的贡献。此外，我们还研究了修改后的弗里德曼方程，以证明如何在此框架内实现不同的宇宙学场景。此外，我们研究了基于麦克斯韦代数的引力规范理论，并表明该模型导致了（反）德西特宇宙以及非加速宇宙模型。