The existence of non-trivial asymptotically flat initial data for vacuum spacetimes

DOI10.1007/BF01651695zbMath0404.53025MaRDI QIDQ1256746

Murray Cantor

Publication date: 1977

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

zbMATH Keywords

Conformal MethodsEinstein Field EquationsInitial DataVacuUm Spacetimes

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Applications of local differential geometry to the sciences (53B50)

Related Items

The general relativistic constraint equations ⋮ Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold ⋮ The boost problem in general relativity ⋮ Systemes elliptiques linéaires dans des espaces de fonctions hoelderiennes à poids ⋮ 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 ⋮ A necessary and sufficient condition for York data to specify an asymptotically flat spacetime ⋮ Boundary value problems for asymptotically homogeneous elliptic second order operators ⋮ Problèmes elliptiques du second ordre sur une variété euclidienne à l'infini ⋮ Elliptic operators and the decomposition of tensor fields ⋮ Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

Cites Work

• Scalar curvature and conformal deformation of Riemannian structure
• Perfect fluid flows over \(\mathbb{R}^n\) with asymptotic conditions
• The existence of maximal slicings in asymptotically flat spacetimes
• Solution of the local mass problem in general relativity
• The null spaces of elliptic partial differential operators in R\(^n\)
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• The Manifold of Conformally Equivalent Metrics
• Existence and uniqueness of solutions of the Hamiltonian constraint of general relativity on compact manifolds
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item