Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II

DOI10.3233/ASY-151333zbMath1337.83012arXiv1410.6061OpenAlexW2191323538MaRDI QIDQ2800213

Cécile Huneau

Publication date: 15 April 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6061

zbMATH Keywords

general relativityEinstein constraint equationsasymptotic flatness

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein equations (35Q76)

Related Items (5)

The general relativistic constraint equations ⋮ Stability in exponential time of Minkowski space-time with a space-like translation symmetry ⋮ Stability of Minkowski space-time with a translation space-like Killing field ⋮ Global regularity for Einstein-Klein-Gordon system with \(U(1)\times\mathbb{R}\) isometry group. I ⋮ Global regularity for Einstein-Klein Gordon system with \(U(1)\times\mathbb{R}\) isometry group

Cites Work

• A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method
• A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
• Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions
• On ``asymptotically flat space-times with \(G_2\)-invariant Cauchy surfaces
• On the asymptotics for the vacuum Einstein constraint equations
• The behavior of the laplacian on weighted sobolev spaces
• A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
• Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
• Unnamed Item

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