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 …

A bstract Non-relativistic string theories promise to provide simpler theories of quantum
gravity as well as tractable limits of the AdS/CFT correspondence. However, several …

A bstract We study the non-relativistic expansion of general relativity coupled to matter. This
is done by expanding the metric and matter fields analytically in powers of 1/c 2 where c is …

We derive an action whose equations of motion contain the Poisson equation of Newtonian
gravity. The construction requires a new notion of Newton-Cartan geometry based on an …

The aim of this series of papers is to generalize the ambient approach of Duval et al.
regarding the embedding of Galilean and Carrollian geometries inside gravitational waves …

We revisit the manifestly covariant large c expansion of general relativity, c being the speed
of light. Assuming the relativistic connection has no pole in $ c^{-2} $, this expansion is …

We show that certain three-dimensional Hořava-Lifshitz gravity theories can be written as
Chern-Simons gauge theories on various nonrelativistic algebras. The algebras are specific …

A bstract We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion,
with the result that one obtains from a null-reduction of General Relativity. Whereas the two …

A bstract In this work we present an alternative method to construct diverse non-relativistic
Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply …

We consider the presence of odd powers of the speed of light c in the covariant
nonrelativistic expansion of General Relativity (GR). The term of order c in the relativistic …