PreprintarXiv licencearXiv
Global hyperbolicity meets order completeness
Abstract
Recently, an order completeness property has attracted attention in some low regularity spacetime geometry literature, where it was named `chronocompleteness'. In this work we prove that, in the framework of standard Lorentzian geometry, this property is equivalent to global hyperbolicity. The equivalence of global hyperbolicity with other more traditional forms of order completeness is also established.
Versions
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BibTeX
@misc{minguzzi2026global,
title = {{Global hyperbolicity meets order completeness}},
author = {E. Minguzzi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.03476},
eprint = {2608.03476},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.03476},
}
RIS
TY - UNPB
TI - Global hyperbolicity meets order completeness
AU - E. Minguzzi
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2608.03476
UR - https://arxiv.org/abs/2608.03476
AB - Recently, an order completeness property has attracted attention in some low regularity spacetime geometry literature, where it was named `chronocompleteness'. In this work we prove that, in the framework of standard Lorentzian geometry, this property is equivalent to global hyperbolicity. The equivalence of global hyperbolicity with other more traditional forms of order completeness is also established.
ER -