On the causal hierarchy of Lorentzian length spaces

On the causal hierarchy of Lorentzian length spaces

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...

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Veröffentlicht in:Classical and quantum gravity 2020-11, Vol.37 (21), p.215013
Hauptverfasser: Hau, Luis Aké, Cabrera Pacheco, Armando J, Solis, Didier A
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causal hierarchy
distance homothetic maps
Lorentzian length spaces
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container_title Classical and quantum gravity
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creator Hau, Luis Aké
Cabrera Pacheco, Armando J
Solis, Didier A
description 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.
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subjects causal hierarchy
distance homothetic maps
Lorentzian length spaces
title On the causal hierarchy of Lorentzian length spaces
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