Manifold structures for sets of solutions of the general relativistic constraint equations

DOI10.1016/j.geomphys.2003.12.002zbMath1073.83011arXivgr-qc/0309001OpenAlexW2008770421MaRDI QIDQ557257

Erwann Delay, Piotr T. Chrusciel

Publication date: 23 June 2005

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0309001

zbMATH Keywords

weighted Hölder spacesBanach manifold structurecompact manifold with/without boundaryFischer-Marsden-Moncrief approachgeneral relativistic constraint equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations on manifolds; differential operators (58J99) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

The general relativistic constraint equations, Mathematical general relativity: A sampler, On Carlotto-Schoen-type scalar-curvature gluings, Embeddings, immersions and the Bartnik quasi-local mass conjectures, On the existence of solutions and causality for relativistic viscous conformal fluids, Long time existence from interior gluing, Construction of \(N\)-body initial data sets in general relativity, Localized gluing of Riemannian metrics in interpolating their scalar curvature, Linearization stability of the Einstein constraint equations on an asymptotically hyperbolic manifold

Cites Work

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• Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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