# Three-Dimensional Extended Newtonian (Super)Gravity

## TL;DR

This paper introduces a novel three-dimensional non-relativistic gravity model invariant under extended symmetry groups, derived from a contraction of bi-metric Einstein gravity, and includes a supersymmetric extension, contributing to non-relativistic supergravity theories.

## Contribution

It presents a new 3D non-relativistic gravity model with supersymmetry, derived from Einstein gravity contractions, expanding the understanding of non-relativistic supergravity frameworks.

## Key findings

- Constructed a 3D non-relativistic gravity model invariant under extended symmetries.
- Derived the model from contraction of bi-metric Einstein gravity.
- Presented the supersymmetric completion of the gravity action.

## Abstract

We present a three dimensional non-relativistic model of gravity that is invariant under the central extension of the symmetry group that leaves the recently constructed Newtonian gravity action invariant. We show that the model arises from the contraction of a bi-metric model that is the sum of the Einstein gravity in Lorentzian and the Euclidean signatures. We also present the supersymmetric completion of this action which provides one of the very few examples of an action for non-relativistic supergravity.