Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-12-03
Class.Quant.Grav.25:075015,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 2 figures. v2: improved and expanded version. v3: a few misprints have been corrected and a reference has been update
Scientific paper
10.1088/0264-9381/25/7/075015
Causal continuity is usually defined by imposing the conditions (i) distinction and (ii) reflectivity. It is proved here that a new causality property which stays between weak distinction and causality, called feeble distinction, can actually replace distinction in the definition of causal continuity. An intermediate proof shows that feeble distinction and future (past) reflectivity implies past (resp. future) distinction. Some new characterizations of weak distinction and reflectivity are given.
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