Rough solutions of Einstein vacuum equations in CMCSH gauge

DOI10.1007/s00220-014-2015-zzbMath1294.83009arXiv1201.0049OpenAlexW2059644461MaRDI QIDQ2248868

Qian Wang

Publication date: 27 June 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0049

zbMATH Keywords

Cauchy problemEinstein vacuum equationsStrichartz estimategeometric wave equationrough solutionslocal well-posedness resultCMC spatial harmonic gaugeCMCSH gaugestandard paradifferential regularization

Mathematics Subject Classification ID

Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (8)

A geometric perspective on the method of descent ⋮ A geometric approach for sharp local well-posedness of quasilinear wave equations ⋮ Causal geometry of rough Einstein CMCSH spacetime ⋮ Local well-posedness of the Einstein-Yang-Mills system in constant mean extrinsic curvature spatial harmonic generalized Coulomb gauge ⋮ On the global well-posedness of the Einstein–Yang–Mills system ⋮ Rough sound waves in \(3D\) compressible Euler flow with vorticity ⋮ Rough solutions of the 3-D compressible Euler equations ⋮ Local existence with low regularity for the 2D compressible Euler equations

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