Bergshoeff, EricEricBergshoeffGrumiller, DanielDanielGrumillerProhazka, StefanStefanProhazkaRosseel, JanJanRosseel2024-10-252024-10-252017-01-25https://boris-portal.unibe.ch/handle/20.500.12422/149814We 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 Inönü-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.en500 - Science::530 - Physicsarticle10.7892/boris.954501612.0227710.1007/JHEP01(2017)114