We consider a model of noncommutative gravity that is based on a spacetime
with broken local SO(2,3) symmetry. We show that the torsion-free version of
this model is contained within the framework of the Lorentz-violating
Standard-Model Extension. We analyze in detail the relation between the
torsion-free, quadratic limits of the broken SO(2,3) model and the
Standard-Model Extension. As part of the analysis,we construct the relevant
geometric quantities to quadratic order in the metric perturbation around a
flat background.Comment: 10 pages, accepted in Symmetr
