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Phys. Rev. D 61, 084034 (2000) [20 pages]

Einstein constraints on asymptotically Euclidean manifolds

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Yvonne Choquet-Bruhat
Gravitation et Cosmologie Relativiste, t.22-12, Université Paris VI, Paris 75252 France

James Isenberg
Department of Mathematics, University of Oregon, Eugene, Oregon 97403

James W. York, Jr.
Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255

Received 6 July 1999; published 29 March 2000

We consider the Einstein constraints on asymptotically Euclidean manifolds M of dimension n>~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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.084034
DOI:
10.1103/PhysRevD.61.084034
PACS:
04.20.Ha, 02.40.-k, 04.20.Ex