On démontre l'existence d'espaces temps génériques, à symétrie S1 mais non polarisés, complets dans la direction de l'expansion, pour des données initiales petites.
We prove the existence of vacuum S1 symmetric Einsteinian, unpolarized, space times which are complete in the direction of the expansion, for small initial data.
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@article{CRMATH_2003__337_2_129_0, author = {Choquet-Bruhat, Yvonne}, title = {Future complete {\protect\emph{S}\protect\textsuperscript{1}} symmetric {Einsteinian} spacetimes, the unpolarized case}, journal = {Comptes Rendus. Math\'ematique}, pages = {129--136}, publisher = {Elsevier}, volume = {337}, number = {2}, year = {2003}, doi = {10.1016/S1631-073X(03)00277-2}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(03)00277-2/} }
TY - JOUR AU - Choquet-Bruhat, Yvonne TI - Future complete S1 symmetric Einsteinian spacetimes, the unpolarized case JO - Comptes Rendus. Mathématique PY - 2003 SP - 129 EP - 136 VL - 337 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(03)00277-2/ DO - 10.1016/S1631-073X(03)00277-2 LA - en ID - CRMATH_2003__337_2_129_0 ER -
%0 Journal Article %A Choquet-Bruhat, Yvonne %T Future complete S1 symmetric Einsteinian spacetimes, the unpolarized case %J Comptes Rendus. Mathématique %D 2003 %P 129-136 %V 337 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(03)00277-2/ %R 10.1016/S1631-073X(03)00277-2 %G en %F CRMATH_2003__337_2_129_0
Choquet-Bruhat, Yvonne. Future complete S1 symmetric Einsteinian spacetimes, the unpolarized case. Comptes Rendus. Mathématique, Tome 337 (2003) no. 2, pp. 129-136. doi : 10.1016/S1631-073X(03)00277-2. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00277-2/
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