Non-CMC conformal data sets which do not produce solutions of the Einstein constraint equations

DOI10.1088/0264-9381/21/3/013zbMath1042.83007arXivgr-qc/0311057OpenAlexW3104788591MaRDI QIDQ4461246

James A. Isenberg, Niall Ó Murchadha

Publication date: 30 March 2004

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0311057

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (11)

The general relativistic constraint equations ⋮ Mathematical general relativity: A sampler ⋮ Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions ⋮ ROUGH SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON COMPACT MANIFOLDS ⋮ Einstein-type elliptic systems ⋮ A model problem for conformal parameterizations of the Einstein constraint equations ⋮ The Einstein-scalar field constraint system in the positive case ⋮ A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ The constraint equations in the presence of a scalar field: the case of the conformal method with volumetric drift ⋮ Far-from-Constant Mean Curvature Solutions of Einstein’s Constraint Equations with Positive Yamabe Metrics

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