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arXiv · 0708.2070

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

E. Minguzzi
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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.

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E. Minguzzi. 2007-12-03. The causal ladder and the strength of K-causality. I. https://doi.org/10.1088/0264-9381%2F25%2F1%2F015009

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