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 article we review recent progress on the holographic modelling of field theories with
Lifshitz symmetry. We focus in particular on the holographic dictionary for Lifshitz …

We review both the kinematics and dynamics of non-lorentzian theories and their associated
geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry …

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 …

A bstract We find a Polyakov-type action for strings moving in a torsional Newton-Cartan
geometry. This is obtained by starting with the relativistic Polyakov action and fixing the …

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 It is well known that the geometrical framework of Riemannian geometry that
underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be …

A bstract We discuss a particular non-relativistic limit of NS-NS gravity that can be taken at
the level of the action and equations of motion, without imposing any geometric constraints …

Using target space null reduction of the Polyakov action, we find a novel covariant action for
strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero …