Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision

Details Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision

2004-11-29

arxiv.org/abs/gr-qc/0411143v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to Proc. XIII Escola de Geometria Diferencial, Sao Paulo, 2004. 21 pages, 3 figures, Latex. Minor linguistic chan

Scientific paper

After the heroic epoch of Causality Theory, problems concerning the
smoothability of time functions and Cauchy hypersurfaces remained as unanswered
folk questions. Just recently solved, our aim is to discuss the state of the
art on this topic, including self-contained proofs for questions on causally
continuous, stably causal and globally hyperbolic spacetimes.

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