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arXiv · 2003.03451

On the causal hierarchy of Lorentzian length spaces

L. Ake Hau·Armando J. Cabrera Pacheco·Didier A. Solis
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Abstract

In this work we provide the full description of the upper levels of the classical causal ladder for spacetimes in the context of Lorenztian length spaces, thus establishing the hierarchy between them. We also show that global hyperbolicity, causal simplicity, causal continuity, stable causality and strong causality are preserved under distance homothetic maps.

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L. Ake Hau, Armando J. Cabrera Pacheco, Didier A. Solis. 2020-03-06. On the causal hierarchy of Lorentzian length spaces. https://doi.org/10.1088/1361-6382%2Fabb25f

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