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

Romain Gicquaud; Cécile Huneau

doi:10.1016/j.geomphys.2016.05.015

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

Romain Gicquaud
, Cécile Huneau

Université de Tours
PSL research University & IPSL

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	175-186
Nombre de pages	12
journal	Journal of Geometry and Physics
Volume	107
Les DOIs	https://doi.org/10.1016/j.geomphys.2016.05.015
état	Publié - 1 sept. 2016
Modification externe	Oui

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10.1016/j.geomphys.2016.05.015

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

abstract = "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.",

keywords = "Conformal method, Einstein constraint equations, Non-constant mean curvature",

author = "Romain Gicquaud and C{\'e}cile Huneau",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = sep,

day = "1",

doi = "10.1016/j.geomphys.2016.05.015",

language = "English",

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journal = "Journal of Geometry and Physics",

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T1 - Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case

AU - Gicquaud, Romain

AU - Huneau, Cécile

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

AB - 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.

KW - Conformal method

KW - Einstein constraint equations

KW - Non-constant mean curvature

UR - https://www.scopus.com/pages/publications/84976299236

U2 - 10.1016/j.geomphys.2016.05.015

DO - 10.1016/j.geomphys.2016.05.015

M3 - Article

AN - SCOPUS:84976299236

SN - 0393-0440

VL - 107

SP - 175

EP - 186

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

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

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