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

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

2003-05-15

arxiv.org/abs/gr-qc/0305060v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

67 pages, text for the volume of the Cargese meeting "50 years of the Cauchy problem in General Relativity"

Scientific paper

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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