  Starting from a standard noncommutative gauge theory and using the
Seiberg-Witten map we propose a new version of a noncommutative gravity. We use
consistent deformation theory starting from a free gauge action and gauging a
killing symmetry of the background metric to construct a deformation of the
gauge theory that we can relate with gravity. The result of this consistent
deformation of the gauge theory is nonpolynomial in A_\mu. From here we can
construct a version of noncommutative gravity that is simpler than previous
attempts. Our proposal is consistent and is not plagued with the problems of
other approaches like twist symmetries or gauging other groups.
