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arXiv · 2209.06894

Gluing of Lorentzian length spaces and the causal ladder

Felix Rott
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Abstract

We investigate the compatibility of Lorentzian amalgamation with various properties of Lorentzian pre-length spaces. In particular, we give conditions under which gluing of Lorentzian length spaces yields again a Lorentzian length space and we give criteria which preserve many steps of the causal ladder. We conclude with some thoughts on the causal properties which seem not so easily transferable.

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Felix Rott. 2022-09-14. Gluing of Lorentzian length spaces and the causal ladder. https://doi.org/10.1088/1361-6382%2Face585

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