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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	175-186
Number of pages	12
Journal	Journal of Geometry and Physics
Volume	107
DOIs	https://doi.org/10.1016/j.geomphys.2016.05.015
Publication status	Published - 1 Sept 2016
Externally published	Yes

Keywords

Conformal method
Einstein constraint equations
Non-constant mean curvature

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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",

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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

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

Abstract

Keywords

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