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Einstein Constraints on Asymptotically Euclidean Manifolds

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arxiv gr-qc/9906095 v2 pith:RUWRYP6N submitted 1999-06-23 gr-qc

Einstein Constraints on Asymptotically Euclidean Manifolds

classification gr-qc
keywords asymptoticallyeuclideanmanifoldsconstraintseinsteinscaledsourcescase
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We consider the Einstein constraints on asymptotically euclidean manifolds $M$ of dimension $n \geq 3$ with sources of both scaled and unscaled types. We extend to asymptotically euclidean manifolds the constructive method of proof of existence. We also treat discontinuous scaled sources. In the last section we obtain new results in the case of non-constant mean curvature.

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