Slicing, Threading & Parametric Manifolds
广义相对论与量子宇宙学
2009-10-22 v1
摘要
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.
引用
@article{arxiv.gr-qc/9407020,
title = {Slicing, Threading & Parametric Manifolds},
author = {Stuart Boersma and Tevian Dray},
journal= {arXiv preprint arXiv:gr-qc/9407020},
year = {2009}
}
备注
Plain TeX, 18 pages, 5 PostScript figures (psfig)