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arXiv · 1409.3477

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

Romain Gicquaud·Cecile Huneau
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Abstract

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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Romain Gicquaud, Cecile Huneau. 2014-09-11. Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case. https://arxiv.org/abs/1409.3477

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