This study reviews the history of Newton–Cartan (NC) gravity with an emphasis on recent
developments, including the covariant, off-shell large speed of light expansion of general …

In this work, we present the three-dimensional Maxwell Carroll gravity by considering the
ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime …

A bstract In this paper, we present novel and known non-relativistic and ultra-relativistic spin-
3 algebras, by considering the Lie algebra expansion method. We start by applying the …

We discuss the generalized Newton–Cartan geometries that can serve as gravitational
background fields for particles and strings. In order to enable us to define affine connections …

We present non-and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF
theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in …

A bstract We present a method of contraction that can be applied to re-construct the recent
extended non-relativistic and ultra-relativistic algebras as well as corresponding action …

We present a supersymmetric extension of the exotic Newtonian Chern–Simons gravity
theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is …

We give an overview of the different non-Lorentzian supergravity theories in diverse
dimensions that have been constructed in recent years. After giving a detailed discussion of …

A bstract Expanding General Relativity in the inverse speed of light, 1/c, leads to a
nonrelativistic gravitational theory that extends the Post-Newtonian expansion by the …

We show that infinite families of Galilean spin-3 symmetries in 2+ 1 dimensions, which
include higher-spin extensions of the Bargmann, Newton-Hooke, nonrelativistic Maxwell …