Future complete \(S^{1}\) symmetric Einsteinian spacetimes, the unpolarized case

DOI10.1016/S1631-073X(03)00277-2zbMath1027.83005OpenAlexW3024182476MaRDI QIDQ1408246

Yvonne Choquet-Bruhat

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00277-2

zbMATH Keywords

expansionsmall initial dataEinsteinian space-timesspace times

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

Null congruence spacetimes constructed from 3-dimensional Robertson-Walker spaces

Cites Work

• On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface
• Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups
• Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold
• Global hyperbolicity and completeness
• Future global in time Einsteinian spacetimes with \(U(1)\) isometry group
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