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

We construct solutions to the constraint equations in general relativity using the limit equation criterion introduced in Dahl et al. (2012). We focus on solutions over compact 3-manifolds admitting a S1-symmetry group. When the quotient manifold has genus greater than 2, we obtain strong far from C...

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Veröffentlicht in:	Journal of geometry and physics 2016-09, Vol.107, p.175-186
Hauptverfasser:	Gicquaud, Romain, Huneau, Cécile
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Conformal method Differential Geometry Einstein constraint equations General Relativity and Quantum Cosmology Mathematics Non-constant mean curvature Physics
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container_title	Journal of geometry and physics
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creator	Gicquaud, Romain Huneau, Cécile
description	We construct solutions to the constraint equations in general relativity using the limit equation criterion introduced in Dahl et al. (2012). We focus on solutions over compact 3-manifolds admitting a S1-symmetry group. When the quotient manifold has genus greater than 2, we obtain strong far from CMC results.
doi_str_mv	10.1016/j.geomphys.2016.05.015
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subjects	Analysis of PDEs Conformal method Differential Geometry Einstein constraint equations General Relativity and Quantum Cosmology Mathematics Non-constant mean curvature Physics
title	Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case
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