We study the resolution of certain cosmological singularity in the context of higherspin three-dimensional gravity. We consider gravity coupled to a spin-3 field realized as Chern-Simons theory with gauge group SL(3, C). In this context we elaborate and extend a singularity resolution scheme proposed by Krishnan and Roy. We discuss the resolution of a big-bang singularity in the case of gravity coupled to a spin-4 field realized as Chern-Simons theory with gauge group SL(4, C). In all these cases we show the existence of gauge transformations that do not change the holonomy of the Chern-Simons gauge potential and lead to metrics without the initial singularity. We argue that such transformations always exist in the context of gravity coupled to a spin-N field when described by Chern-Simons with gauge group SL(N, C).
Three-dimensional higher spin gravity as a Chern-Simons theoryLet us first review how in three dimensions Einstein gravity can be written in terms of Chern-Simons theory [54] [55]. In particular, we shall review how dS 3 appears as a solution of Chern-Simons with SL(2, C) gauge group. On the Chern-Simons side the starting point is a pair of connections taking values in the algebra sl(2) with generators {L 0 , L 1 , L −1 } (see appendix (A) for an explicit realization of the generators).