Einstein Constraints on Asymptotically Euclidean Manifolds

Details Einstein Constraints on Asymptotically Euclidean Manifolds Einstein Constraints on Asymptotically Euclidean Manifolds

1999-06-23

arxiv.org/abs/gr-qc/9906095v2

Phys.Rev. D61 (2000) 084034

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, no figures, RevTeX

Scientific paper

10.1103/PhysRevD.61.084034

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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