Slicing, Threading & Parametric Manifolds

Details Slicing, Threading & Parametric Manifolds Slicing, Threading & Parametric Manifolds

1994-07-15

arxiv.org/abs/gr-qc/9407020v1

Gen.Rel.Grav. 27 (1995) 319-339

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain TeX, 18 pages, 5 PostScript figures (psfig)

Scientific paper

10.1007/BF02109128

We present a unified treatment of the slicing (3+1) and threading (1+3) decompositions of spacetime in terms of foliations. It is well-known how to decompose the metric and connection in the slicing picture; this is at the heart of any initial-value problem in general relativity. We describe here the analogous problem in the threading picture, recovering the recent results of Perjes on parametric manifolds.

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