Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

Y. Choquet-Bruhat; J. Isenberg; V. Moncrief

doi:10.1393/ncb/i2004-10174-x

Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

广义相对论与量子宇宙学 2010-11-11 v1

作者: Y. Choquet-Bruhat , J. Isenberg , V. Moncrief

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

We use Fuchsian methods to show that, for any two dimensional manifold $\Sigma^2$ , there is a large family of U(1) symmetric solutions of the vacuum Einstein equations on the manifold $\Sigma \times S^1 \times \mathbb{R}$ , each of which has AVTD behavior in the neighborhood of its singularity.

引用

@article{arxiv.gr-qc/0502104,
  title  = {Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior},
  author = {Y. Choquet-Bruhat and J. Isenberg and V. Moncrief},
  journal= {arXiv preprint arXiv:gr-qc/0502104},
  year   = {2010}
}

备注

proceedings of conference in Elba to appear in Nuovo Cimento

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