On the causal hierarchy of Lorentzian length spaces
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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.Keywords
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This publication has 15 references indexed in Scilit:
- Lorentzian length spacesAnnals of Global Analysis and Geometry, 2018
- The Hawking–Penrose Singularity Theorem for C 1,1-Lorentzian MetricsCommunications in Mathematical Physics, 2017
- Timelike Completeness as an Obstruction to C 0-ExtensionsCommunications in Mathematical Physics, 2017
- Some Remarks on the $C^0$ C 0 -(In)Extendibility of SpacetimesAnnales Henri Poincare, 2017
- Global Hyperbolicity for Spacetimes with Continuous MetricsAnnales Henri Poincare, 2015
- K-Causality Coincides with Stable CausalityCommunications in Mathematical Physics, 2009
- Gravity and matter in causal set theoryClassical and Quantum Gravity, 2009
- A causal order for spacetimes with Lorentzian metrics: proof of compactness of the space of causal curvesClassical and Quantum Gravity, 1996
- Causal structure in space-timeGeneral Relativity and Gravitation, 1971
- Causality Implies the Lorentz GroupJournal of Mathematical Physics, 1964