Conformally covariant parametrizations for relativistic initial data

DOI10.1088/1361-6382/34/1/01LT01zbMath1354.83008arXiv1601.05944MaRDI QIDQ2957161

Erwann Delay

Publication date: 25 January 2017

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

Full work available at URL: https://arxiv.org/abs/1601.05944

zbMATH Keywords

general relativityelliptic systemsconformal geometryconstraint equationsvector laplacian

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items (1)

Construction of vacuum initial data by the conformally covariant split system

Cites Work

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• A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method
• A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
• Global aspects of the Cauchy problem in general relativity
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
• The conformal method and the conformal thin-sandwich method are the same
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

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