Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds

Caleb Meier; James Dilts; James Isenberg; Rafe Mazzeo

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Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds

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arxiv 1312.0535 v1 pith:WUXNELS2 submitted 2013-12-02 gr-qc math.AP

Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds

James Dilts , James Isenberg , Rafe Mazzeo , Caleb Meier This is my paper

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keywords asymptoticallyconstraintdataeinsteinequationseuclideanmanifoldsrestrictions

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In this note we prove two existence theorems for the Einstein constraint equations on asymptotically Euclidean manifolds. The first is for arbitrary mean curvature functions with restrictions on the size of the transverse-traceless data and the non-gravitational field data, while the second assumes a near-CMC condition, with no other restrictions.

Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds

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