Proper Time Foliations of Lorentz Manifolds

Details Proper Time Foliations of Lorentz Manifolds Proper Time Foliations of Lorentz Manifolds

2002-11-20

arxiv.org/abs/gr-qc/0211066v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 3 figures

Scientific paper

Some standard definitions and results concerning foliations of dimension one and codimension one are introduced. A proper time foliation of Minkowski space is defined and contrasted with the foliation that is defined by the time coordinate. The extent to which a Lorentz structure on a manifold defines foliations, and the issues concerning the extension of the proper time foliation of Minkowski space to a Lorentz manifold are discussed, such as proper time sections of a geodesic flow.

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