Relativistic simultaneity and causality

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 th...

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Bibliographic Details
Published inarXiv.org
Main Authors Bolos, V J, Liern, V, Olivert, J
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.03.2005
Subjects
Manifolds (mathematics)
Relativism
Relativistic effects
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0503034