Journal
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Volume 332, Issue 2, Pages 137-144Publisher
EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/S0764-4442(00)01786-9
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We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form Sigma x U(1) x 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. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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