  Using Fedosov theory of deformation quantization of endomorphism bundle we
construct several models of pure geometric, deformed vacuum gravity,
corresponding to arbitrary symplectic noncommutativity tensor. Deformations of
Einstein-Hilbert and Palatini actions are investigated. Coordinate covariant
field equations are derived up to the second order of the deformation
parameter. For some models they are solved and explicit corrections to an
arbitrary Ricci-flat metric are pointed out. The relation to the theory of
Seiberg-Witten map is also studied and the correspondence to the spacetime
noncommutativity described by Fedosov *-product of functions is explained.
