6533b855fe1ef96bd12b08ce

RESEARCH PRODUCT

Relativistic simultaneity and causality

V. J. BolosV. LiernJ. Olivert

subject

General Relativity and Quantum CosmologyMathematics::Complex VariablesFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Mathematics::Differential GeometryMathematics::Symplectic GeometryGeneral Relativity and Quantum Cosmology

description

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.

yearjournalcountryeditionlanguage
2005-03-09
10.1023/a:1016079025682http://arxiv.org/abs/gr-qc/0503034