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Constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds

Published 21 Oct 2009 in gr-qc and math.DG | (0910.4178v3)

Abstract: We follow the approach employed by Y. Choquet-Bruhat, J. Isenberg and D. Pollack in the case of closed manifolds and establish existence and non-existence results for the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds.

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