Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
A bstract We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to Chern-Simons theories as three-dimensional gravity theories on these spacetimes. By this we find gravitational theories for all carrollian, galilean, and aristotelian counterparts of the lorentzian theories. In order to define a nondegenerate bilinear form for each …