Relativistic simultaneity and causality
General Relativity and Quantum Cosmology
2014-11-17 v1
Abstract
We analyze two types of relativistic simultaneity associated to an observer: the spacelike simultaneity, given by Landau submanifolds, and the lightlike simultaneity (also known as observed simultaneity), given by past-pointing horismos submanifolds. We study some geometrical conditions to ensure that Landau submanifolds are spacelike and we prove that horismos submanifolds are always lightlike. Finally, we establish some conditions to guarantee the existence of foliations in the space-time whose leaves are these submanifolds of simultaneity generated by an observer.
Keywords
Cite
@article{arxiv.gr-qc/0503034,
title = {Relativistic simultaneity and causality},
author = {V. J. Bolos and V. Liern and J. Olivert},
journal= {arXiv preprint arXiv:gr-qc/0503034},
year = {2014}
}
Comments
12 pages, 5 figures. This is a totally revised version of the paper of same title