On the causal hierarchy of Lorentzian length spaces
Luis Aké Hau, Armando J Cabrera Pacheco, Didier A Solis
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.
Topics & Concepts
Causality (physics)Homothetic transformationHierarchyPhysicsCausal structureContext (archaeology)Causal setsTheoretical physicsWork (physics)Causal modelSpace (punctuation)SpacetimePure mathematicsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchHomotopy and Cohomology in Algebraic Topology