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Slicing, Threading & Parametric Manifolds

Stuart Boersma·Tevian Dray
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Abstract

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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Stuart Boersma, Tevian Dray. 1994-07-15. Slicing, Threading & Parametric Manifolds. https://doi.org/10.1007/bf02109128

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