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The global existence problem in general relativity

Lars Andersson
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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.

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Lars Andersson. 2006-04-28. The global existence problem in general relativity. https://arxiv.org/abs/gr-qc/9911032

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