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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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15 pages

Scientific paper

10.1088/0264-9381/27/24/245019

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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