Space-time distributions
| dc.creator | Time, Mihaela | |
| dc.date | 1998-10-18 | |
| dc.date.accessioned | 2026-07-07T03:32:44Z | |
| dc.date.available | 2026-07-07T03:32:44Z | |
| dc.description | The space-time foliation Sigma compatible with the gravitational field g on a 4-manifold M determines a fibration pi of M, pi : M -> N is a surjective submersion over the 1-dimensional leaves space N. M is then written as a disjoint union of the leaves of Sigma, which are 3-dimensional spacelike surfaces on M. The decomposition, TM=Sigma + T^0 M, also implies that we can define a lift of the curves on N to curves (non-spacelike) on M. The stable causality condition M coincides with Sigma being a causal space-time distribution, generated by an exact timelike 1-form omega^0 = dt where t is some real function on M. In this case M is written as a disjoint union of a family of spacelike 3-surfaces of constant t, which cover D^+(S) of a initial 3-surface S of M. | |
| dc.description | 6 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9810059 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9810059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36345 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Space-time distributions | |
| dc.type | text |