The existence of constant mean curvature foliations of Gowdy 3-torus spacetimes

DOI10.1007/BF01214884zbMath0526.57017MaRDI QIDQ594438

Vincent E. Moncrief, James A. Isenberg

Publication date: 1982

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

zbMATH Keywords

globally foliated by space-like, constant mean curvature hypersurfacessmooth, maximally extended, globally hyperbolic, vacuum, Gowdy spacetimes on product of 3-torus with real line

Mathematics Subject Classification ID

General relativity (83C99) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (6)

The space of (generalized) Taub-Nut spacetimes ⋮ Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups ⋮ A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges ⋮ Mathematical general relativity ⋮ Computational cosmology: from the early universe to the large scale structure ⋮ Anomalous foliations of Einstein space-times

Cites Work

• Neighborhoods of Cauchy horizons in cosmological spacetimes with one Killing field
• Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
• Isolated maximal surfaces in spacetime

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