Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-03-09
Int. J. Theor. Phys. 41 (2002), 1007-1018
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 5 figures. This is a totally revised version of the paper of same title
Scientific paper
10.1023/A:1016079025682
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.
Bolós Vicente J.
Liern V.
Olivert J.
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