We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form¶\( \Sigma \times U(1) \times R \) where \( \Sigma \) is a compact surface of genus G > 1 and where the Cauchy data is invariant with respect to U(1) and sufficiently small exist for an infinite proper time in the expanding direction.
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Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. Author information Authors and AffiliationsTour 22-12, 4ème étage, Place Jussieu, F-75252 Paris Cedex 05, France, e-mail: ycb@ccr.jussieu.fr, , , , , , FR
Y. Choquet-Bruhat
Department of Physics, Yale University, PO Box 08120, New Haven 06520, USA,¶ e-mail: vincent.moncrief@yale.edu, , , , , , US
V. Moncrief
Submitted 09/02/01, accepted 09/07/01
About this article Cite this articleChoquet-Bruhat, Y., Moncrief, V. Future Global in Time Einsteinian Spacetimes with U(1) Isometry Group. Ann. Henri Poincaré 2, 1007–1064 (2001). https://doi.org/10.1007/s00023-001-8602-5
Issue Date: December 2001
DOI: https://doi.org/10.1007/s00023-001-8602-5
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