Time-like hypersurfaces of prescribed mean extrinsic curvature

DOI10.1088/1361-6382/ac096czbMath1482.83012arXiv2103.13749OpenAlexW3166542079MaRDI QIDQ5162832

Helmut Friedrich

Publication date: 5 November 2021

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

Full work available at URL: https://arxiv.org/abs/2103.13749

zbMATH Keywords

Einstein equationsinitial boundary value problemtime-like hypersurfaces of prescribed mean extrinsic curvature

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Boundary value problems on manifolds (58J32) Hyperbolic equations on manifolds (58J45) Flows related to mean curvature (53E10)

Cites Work

• A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
• Future stability of the Einstein-non-linear scalar field system
• Initial boundary value problems for Einstein's field equations and geometric uniqueness
• On the hyperbolicity of Einstein's and other gauge field equations
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• The initial boundary value problem for Einstein's vacuum field equation
• Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
• Far-from-Constant Mean Curvature Solutions of Einstein’s Constraint Equations with Positive Yamabe Metrics
• Numerical relativity using a generalized harmonic decomposition
• A new generalized harmonic evolution system
• Symmetric hyperbolic linear differential equations

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