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

DOI10.1016/j.geomphys.2016.05.015zbMath1345.53038arXiv1409.3477OpenAlexW2963893734MaRDI QIDQ303891

Cécile Huneau, Romain Gicquaud

Publication date: 22 August 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3477

zbMATH Keywords

Einstein constraint equationsconformal methodnon-constant mean curvature

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) PDEs in connection with relativity and gravitational theory (35Q75) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Solutions to the Einstein-scalar field constraint equations with a small TT-tensor

Cites Work

• A large class of non-constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
• 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
• Applications of fixed point theorems to the vacuum Einstein constraint equations with non-constant mean curvature
• Conformal parameterizations of slices of flat Kasner spacetimes
• Partial differential equations. III: Nonlinear equations.
• A limit equation criterion for solving the Einstein constraint equations on manifolds with ends of cylindrical type
• A model problem for conformal parameterizations of the Einstein constraint equations
• A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor
• Far-from-Constant Mean Curvature Solutions of Einstein’s Constraint Equations with Positive Yamabe Metrics
• A set of nonconstant mean curvature solutions of the Einstein constraint equations on closed manifolds
• ROUGH SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON COMPACT MANIFOLDS
• The conformal method and the conformal thin-sandwich method are the same
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