Newton-Cartan (super)gravity as a non-relativistic limit

TL;DR

The paper introduces a systematic limiting procedure to derive non-relativistic gravity and supergravity theories from their relativistic counterparts, exemplified by obtaining Newton-Cartan gravity and supergravity from general relativity.

Contribution

It presents a new method to obtain non-relativistic theories from relativistic ones, including a novel off-shell Newton-Cartan supergravity formulation in three dimensions.

Findings

Derived Newton-Cartan gravity from general relativity.

Constructed a non-relativistic off-shell supergravity theory.

Established a consistent limiting procedure for supergravity theories.

Abstract

We define a procedure that, starting from a relativistic theory of supergravity, leads to a consistent, non-relativistic version thereof. As a first application we use this limiting procedure to show how the Newton-Cartan formulation of non-relativistic gravity can be obtained from general relativity. Then we apply it in a supersymmetric case and derive a novel, non-relativistic, off-shell formulation of three-dimensional Newton-Cartan supergravity.