Abstract
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.
Funder
Universidad Autónoma de Yucatán
Carl Zeiss Foundation
Consejo Nacional de Ciencia y Tecnología
Subject
Physics and Astronomy (miscellaneous)
Reference40 articles.
1. Path length distribution in two-dimensional causal sets;Aghili;Eur. Phys. J. C,2018
2. Structure of globally hyperbolic spacetimes-with-timelike-boundary;Aké;Rev. Mat. Iberoam.,2020
3. Generalized cones as Lorentzian length spaces: causality, curvature, and singularity theorems;Alexander,2019
4. Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes;Bernal;Commun. Math. Phys.,2005
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On curvature bounds in Lorentzian length spaces;Journal of the London Mathematical Society;2024-07-30
2. Time Functions on Lorentzian Length Spaces;Annales Henri Poincaré;2024-07-01
3. On the space of compact diamonds of Lorentzian length spaces;Classical and Quantum Gravity;2024-02-14
4. On conformal Lorentzian length spaces;Analysis and Mathematical Physics;2023-11-16
5. The c-completion of Lorentzian metric spaces;Classical and Quantum Gravity;2023-09-22