High-frequency solutions to the constraint equations

DOI10.1007/s00220-023-04715-8zbMath1529.83015arXiv2206.13062OpenAlexW4367394005MaRDI QIDQ6109365

Unnamed Author

Publication date: 28 July 2023

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

Full work available at URL: https://arxiv.org/abs/2206.13062

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) General theory of conformal mappings (30C35) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dusty-gas two-phase flows (76T15) Approximation with constraints (41A29) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Axiomatics, foundations (70A05)

Related Items (1)

Geometric optics approximation for the Einstein vacuum equations

Cites Work

• A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
• Republication of: The dynamics of general relativity
• The general theory of homogenization. A personalized introduction
• High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• The high-frequency limit in general relativity
• The behavior of the laplacian on weighted sobolev spaces
• Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
• Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds
• Unnamed Item

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