The causal ladder and the strength of K-causality. I

Details The causal ladder and the strength of K-causality. I The causal ladder and the strength of K-causality. I

2007-08-15

arxiv.org/abs/0708.2070v3

Class.Quant.Grav.25:015009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, one figure. Old title: ``On the relationship between K-causality and infinite A-causality''. Some typos fixed; small

Scientific paper

10.1088/0264-9381/25/1/015009

A unifying framework for the study of causal relations is presented. The causal relations are regarded as subsets of M x M and the role of the corresponding antisymmetry conditions in the construction of the causal ladder is stressed. The causal hierarchy of spacetime is built from chronology up to K-causality and new characterizations of the distinction and strong causality properties are obtained. The closure of the causal future is not transitive, as a consequence its repeated composition leads to an infinite causal subladder between strong causality and K-causality - the A-causality subladder. A spacetime example is given which proves that K-causality differs from infinite A-causality.

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