  We initiate the study of non- and ultra-relativistic higher spin theories.
For sake of simplicity we focus on the spin-3 case in three dimensions. We
classify all kinematical algebras that can be obtained by all possible
In\"on\"u--Wigner contraction procedures of the kinematical algebra of spin-3
theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to
construct associated actions of Chern--Simons type, directly in the
ultra-relativistic case and by suitable algebraic extensions in the
non-relativistic case. We show how to give these kinematical algebras an
infinite-dimensional lift by imposing suitable boundary conditions in a theory
we call "Carroll Gravity", whose asymptotic symmetry algebra turns out to be an
infinite-dimensional extension of the Carroll algebra.
