De l'équation de prescription de courbure scalaire aux équations de contrainte en relativité générale sur une variété asymptotiquement hyperbolique
arXiv:0802.3279 · doi:10.1016/j.matpur.2010.03.011
Abstract
Two problems concerning asymptotically hyperbolic manifolds with an inner boundary are studied. First, we study scalar curvature presciption with either Dirichlet or mean curvature prescription interior boundary condition. Then we apply those results to the Lichnerowicz equation with (future or past) apparent horizon interior boundary condition. In the last part we show how to construct TT-tensors. Thus we obtain Cauchy data with constant mean curvature for Einstein vacuum equations.
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Cited by in corpus (5)
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- A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
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- Asymptotically hyperbolic manifolds with small mass
- Asymptotically Hyperbolic Einstein Constraint Equations with Apparent Horizon Boundary and the Penrose Inequality for Perturbations of Schwarzschild-AdS