1994/07/15 by Stuart Boersma, Tevian Dray · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Connection (principal bundle) #Differential geometry #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Metric (unit) #Parametric statistics #Slicing #Spacetime #Threading (protein sequence) #gr-qc
paper · pdf · doi:10.1007/bf02109128
published as Gen.Rel.Grav. 27 (1995) 319-339 · Plain TeX, 18 pages, 5 PostScript figures (psfig)
arxiv created 1994/07/15 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.