On the causal hierarchy of Lorentzian length spaces
General Relativity and Quantum Cosmology
2020-10-16 v2
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.
Keywords
Cite
@article{arxiv.2003.03451,
title = {On the causal hierarchy of Lorentzian length spaces},
author = {L. Ake Hau and Armando J. Cabrera Pacheco and Didier A. Solis},
journal= {arXiv preprint arXiv:2003.03451},
year = {2020}
}
Comments
The notion of weakly locally causally closed sets has been introduced. Other details brought to our attention by the referees have been addressed. See the accepted version by Classical and Quantum Gravity for the latest changes (https://doi.org/10.1088/1361-6382/abb25f)