
Starting from a self-dual formulation of gravity, we obtain a noncommutative theory of pure Einstein theory in four dimensions. In order to do that, we use Seiberg-Witten map. It is shown that the noncommutative torsion constraint is solved by the vanishing of commutative torsion. Finally, the noncommutative corrections to the action are computed up to second order.
15+1 pages, LaTeX, no figures
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Methods of noncommutative geometry in general relativity, FOS: Physical sciences, noncommutative self-dual gravity
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Methods of noncommutative geometry in general relativity, FOS: Physical sciences, noncommutative self-dual gravity
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