On the causal hierarchy of Lorentzian length spaces

Author:

Hau Luis AkéORCID,Cabrera Pacheco Armando JORCID,Solis Didier AORCID

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

Publisher

IOP Publishing

Subject

Physics and Astronomy (miscellaneous)

Reference40 articles.

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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

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