In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on a new enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit.

在这项工作中，我们通过考虑在三个时空维度中定义的麦克斯韦陈-西蒙斯引力理论的超相对论极限来呈现三维麦克斯韦卡罗尔引力。我们表明，为了使超相对论麦克斯韦代数的不变张量是非退化的，麦克斯韦卡罗尔对称性的扩展是必要的。因此，我们将上述代数和理论的起源讨论为一个平坦的极限。我们表明，具有宇宙常数的理论设置在消失的宇宙常数极限中产生扩展的麦克斯韦卡罗尔陈 - 西蒙斯引力是基于卡罗尔对称性的新扩大扩展版本。的确，