  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.
