3 papers
gr-qc1994
Slicing, Threading & Parametric Manifolds
Stuart Boersma, Tevian Dray
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 connect…
gr-qc1994
Parametric Manifolds II: Intrinsic Approach
Stuart Boersma, Tevian Dray
A parametric manifold is a manifold on which all tensor fields depend on an additional parameter, such as time, together with a parametric structure, namely a given (parametric) 1-…
gr-qc1994
Parametric Manifolds I: Extrinsic Approach
Stuart Boersma, Tevian Dray
A parametric manifold can be viewed as the manifold of orbits of a (regular) foliation of a manifold by means of a family of curves. If the foliation is hypersurface orthogonal, th…