The causal ladder and the strength of K-causality. I
Abstract
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.
Keywords
Cite
@article{arxiv.0708.2070,
title = {The causal ladder and the strength of K-causality. I},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:0708.2070},
year = {2011}
}
Comments
16 pages, one figure. Old title: ``On the relationship between K-causality and infinite A-causality''. Some typos fixed; small change in the proof of lemma 4.2