On the causal hierarchy of Lorentzian length spaces
- 9 October 2020
- journal article
- research article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 37 (21) , 215013
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
All Related Versions
Funding Information
- Universidad Autónoma de Yucatán (PFCE-2019-12)
- Carl Zeiss Foundation
- Secretaría de Ciencia, Humanidades, Tecnología e Innovación (FORDECyT 265667)
This publication has 26 references indexed in Scilit:
- A regularisation approach to causality theory for $C^{1,1}$ C 1 , 1 -Lorentzian metricsGeneral Relativity and Gravitation, 2014
- On Lorentzian causality with continuous metricsClassical and Quantum Gravity, 2012
- Dynamics for causal sets with matter fields: a Lagrangian-based approachJournal of Physics: Conference Series, 2009
- Gravity and matter in causal set theoryClassical and Quantum Gravity, 2009
- Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’Classical and Quantum Gravity, 2007
- Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic SpacetimesCommunications in Mathematical Physics, 2005
- A causal order for spacetimes with Lorentzian metrics: proof of compactness of the space of causal curvesClassical and Quantum Gravity, 1996
- Space-time as a causal setPhysical Review Letters, 1987
- Causal structure in space-timeGeneral Relativity and Gravitation, 1971
- Causality Implies the Lorentz GroupJournal of Mathematical Physics, 1964