Initial data engineering

DOI10.1007/s00220-005-1345-2zbMath1080.83002arXivgr-qc/0403066OpenAlexW2095274983MaRDI QIDQ2575350

Daniel Pollack, Piotr T. Chrusciel, James A. Isenberg

Publication date: 9 December 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0403066

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Hyperbolic equations on manifolds (58J45)

Related Items (21)

The general relativistic constraint equations ⋮ Existence of CMC Cauchy surfaces from a spacetime curvature condition ⋮ Mathematical general relativity: A sampler ⋮ Localizing solutions of the Einstein constraint equations ⋮ An extension procedure for the constraint equations ⋮ Deformation of scalar curvature and volume ⋮ Collapsing in the Einstein flow ⋮ A gluing construction regarding point particles in general relativity ⋮ Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations ⋮ Multi-localized time-symmetric initial data for the Einstein vacuum equations ⋮ Four-dimensional static and related critical spaces with harmonic curvature ⋮ Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild ⋮ Black hole gluing in de Sitter space ⋮ Mathematical general relativity ⋮ Causal geodesic incompleteness of spacetimes arising from IMP gluing ⋮ Localized deformation for initial data sets with the dominant energy condition ⋮ The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools ⋮ Peeling or not peeling—is that the question? ⋮ Positive energy theorems in fourth-order gravity ⋮ Remarks on the existence of CMC Cauchy surfaces ⋮ Midisuperspace foam and the cosmological constant

Cites Work

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• Remarks on cosmological spacetimes and constant mean curvature surfaces
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• Gluing and Wormholes for the Einstein constraint equations
• On the asymptotics for the vacuum Einstein constraint equations
• A gluing construction for non-vacuum solutions of the Einstein-constraint equations
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Spacetime symmetries and linearization stability of the Einstein equations. I
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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