The global existence problem in general relativity

Details The global existence problem in general relativity The global existence problem in general relativity

1999-11-09

arxiv.org/abs/gr-qc/9911032v4

"50 years of the Cauchy problem in general relativity", eds. Chrusciel and Friedrich, Birkhauser, Basel 2004, pp. 71-120

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

49 pages, 12 figures, based on talk given at the Arthur L. Besse Table Ronde de G\'eom\'etrie Pseudo-Riemannienne Globale, Nan

Scientific paper

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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