Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold

DOI10.1007/BF00756471zbMath0443.35025OpenAlexW2080078892MaRDI QIDQ1144208

Yvonne Choquet-Bruhat, Alice Chaljub-Simon

Publication date: 1980

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00756471

zbMATH Keywords

general relativitynonlinear elliptic equationsinitial manifoldLichnerowicz's equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) General relativity (83C99)

Related Items (9)

Elliptic equation with singular terms on Riemannian manifold ⋮ Gravitational fields near space-like and null infinity ⋮ Future complete \(S^{1}\) symmetric Einsteinian spacetimes, the unpolarized case ⋮ The boost problem in general relativity ⋮ On the existence of asymptotically flat initial data sets for space-times containing manifolds with ends ⋮ Decomposition of the space of covariant two-tensors on \(R^ 3\). ⋮ Unnamed Item ⋮ Partial decay on simple manifolds ⋮ Unnamed Item

Cites Work

• The existence of non-trivial asymptotically flat initial data for vacuum spacetimes
• On the solvability of the Dirichlet problem for quasilinear elliptic equations in an unbounded domain. I
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
• Elliptic Partial Differential Equations of Second Order
• Problèmes elliptiques du second ordre sur une variété euclidienne à l'infini
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
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