English

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

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

I prove the existence of vacuum S1S^{1} symmetric Einsteinian, unpolarized, space times which are complete in the direction of the expansion, for small initial data, without supposing that the S1S^{1} orbits are orthogonal to the 3-manifolds, as was done in previous work in collaboration with V. Moncrief.

Keywords

Cite

@article{arxiv.gr-qc/0305060,
  title  = {Future complete Einsteinian space times with U(1) symmetry, the unpolarized case},
  author = {Yvonne Choquet-Bruhat},
  journal= {arXiv preprint arXiv:gr-qc/0305060},
  year   = {2007}
}

Comments

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