The global existence problem in general relativity

Lars Andersson

The global existence problem in general relativity

General Relativity and Quantum Cosmology 2009-09-25 v4

Authors: Lars Andersson

Abstract

We survey some known facts and open questions concerning the global properties of 3+1 dimensional spacetimes containing a compact Cauchy surface. We consider spacetimes with an $\ell$ -dimensional Lie algebra of space-like Killing fields. For each $\ell \leq 3$ , we give some basic results and conjectures on global existence and cosmic censorship.

Keywords

spacetime geometry

Cite

@article{arxiv.gr-qc/9911032,
  title  = {The global existence problem in general relativity},
  author = {Lars Andersson},
  journal= {arXiv preprint arXiv:gr-qc/9911032},
  year   = {2009}
}

Comments

49 pages, 12 figures, based on talk given at the Arthur L. Besse Table Ronde de G\'eom\'etrie Pseudo-Riemannienne Globale, Nancy, June 1998. Major revision, corresponds to published version

The global existence problem in general relativity

Abstract

Keywords

Cite

Comments

Related papers