Slicing, threading and parametric manifolds
- Cite this article as:
- Boersma, S. & Dray, T. Gen Relat Gravit (1995) 27: 319. doi:10.1007/BF02109128
We present a unified treatment of theslicing (3+1) andthreading (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 Perjés onparametric manifolds.