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Article Dans Une Revue Journal of Geometry and Physics Année : 2016

Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case

Résumé

We construct solutions to the constraint equations in general relativity using the limit equation criterion introduced by Dahl, Humbert and the first author. We focus on solutions over compact 3-manifolds admitting a $\bS^1$-symmetry group. When the quotient manifold has genus greater than 2, we obtain strong far from CMC results.
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hal-01110901 , version 1 (27-01-2024)

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Romain Gicquaud, Cecile Huneau. Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case. Journal of Geometry and Physics, 2016, 107, pp.175 - 186. ⟨10.1016/j.geomphys.2016.05.015⟩. ⟨hal-01110901⟩
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