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arxiv: 0910.4178 · v3 · pith:X6MVEFCLnew · submitted 2009-10-21 · 🌀 gr-qc · math.DG

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

classification 🌀 gr-qc math.DG
keywords manifoldsasymptoticallyconstrainteinstein-scalarequationsfieldhyperbolicapproach
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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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