On the existence of asymptotically flat initial data sets for space-times containing manifolds with ends

DOI10.1007/BF00757237zbMath0489.35072OpenAlexW1975678782MaRDI QIDQ1166724

Murray Cantor

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00757237

zbMATH Keywords

weighted Sobolev spacesCauchy datamanifolds with endsasymptotically flat space-timeYork data

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold
• The boost problem for weakly coupled quasilinear hyperbolic systems of the second order
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• The existence of non-trivial asymptotically flat initial data for vacuum spacetimes
• The behavior of the laplacian on weighted sobolev spaces
• A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
• On elliptic operators in
• Elliptic operators and the decomposition of tensor fields
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

This page was built for publication: On the existence of asymptotically flat initial data sets for space-times containing manifolds with ends