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(2 + 1) non-commutative gravity and conical spacetimes

We solve (2 + 1) non-commutative gravity coupled to point-like sources. We find continuity with Einstein gravity since we recover the classical gravitational field in the θ → 0 limit or at a large distance from the source. Our non-commutative solution inherits from the classical case a limitation on the mass parameter which is, however, twice that expected. Since the distance is not gauge invariant, the measure of the deficit angle near the source is intrinsically ambiguous, with the gauge group playing the role of a statistical ensemble. Einstein determinism can be recovered only at a large distance from the source, compared with the scale of the non-commutative parameter .