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Future complete Einsteinian space times with U(1) symmetry, the unpolarized case

Yvonne Choquet-Bruhat
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Abstract

I prove the existence of vacuum $S^{1}$ symmetric Einsteinian, unpolarized, space times which are complete in the direction of the expansion, for small initial data, without supposing that the $S^{1}$ orbits are orthogonal to the 3-manifolds, as was done in previous work in collaboration with V. Moncrief.

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Yvonne Choquet-Bruhat. 2003-05-15. Future complete Einsteinian space times with U(1) symmetry, the unpolarized case. https://arxiv.org/abs/gr-qc/0305060

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