A note on null distance and causality encoding
General Relativity and Quantum Cosmology
2023-06-30 v1 Differential Geometry
Abstract
Under natural conditions, the null distance introduced by Sormani and Vega [10] is a metric space distance function on spacetime, which, in a certain precise sense, can encode the causality of spacetime. The null distance function requires the choice of a time function. The purpose of this note is to observe that the causality assumptions related to such a choice in results used to establish global encoding of causality, due to Sakovich and Sormani [9] and to Burtscher and Garc\'ia-Heveling [2], can be weakened.
Cite
@article{arxiv.2306.17128,
title = {A note on null distance and causality encoding},
author = {Gregory J. Galloway},
journal= {arXiv preprint arXiv:2306.17128},
year = {2023}
}
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6 pages