Gluing of Lorentzian length spaces and the causal ladder
Differential Geometry
2023-08-09 v1 Mathematical Physics
Metric Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2209.06894,
title = {Gluing of Lorentzian length spaces and the causal ladder},
author = {Felix Rott},
journal= {arXiv preprint arXiv:2209.06894},
year = {2023}
}
Comments
27 pages, 4 figures