Abstract

While Carroll geometry has exciting potential applications in the context of flat space holography, we can also consider an ultra-local small-speed-of-light Carroll limits in gravity itself. At first, this may seem like an esoteric thing to do, compared to for example the non-relativistic expansion of gravity. However, as it turns out, Carroll limits in GR lead to remarkable simplifications. In this talk, I will connect these limits to BKL limits of gravity, which similarly describe solvable and rich dynamics, in the vicinity of singularities. BKL limits have recently reappeared in the context of AdS/CFT, and I will reproduce some of those models from matter-coupled Carroll gravity. Finally, I will discuss some ongoing work on how systematic Carroll approximations of gravity can be used to go beyond existing near-singularity limits.