English

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

General Relativity and Quantum Cosmology 2011-04-07 v3 Differential Geometry

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.

Keywords

Cite

@article{arxiv.0910.4178,
  title  = {Constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds},
  author = {Anna Sakovich},
  journal= {arXiv preprint arXiv:0910.4178},
  year   = {2011}
}

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15 pages