Compact null hypersurfaces and collapsing Riemannian manifolds
| dc.creator | Rendall, Alan D. | |
| dc.date | 1995-10-06 | |
| dc.date.accessioned | 2026-07-07T09:12:36Z | |
| dc.date.available | 2026-07-07T09:12:36Z | |
| dc.description | Restrictions are obtained on the topology of a compact divergence-free null hypersurface in a four-dimensional Lorentzian manifold whose Ricci tensor is zero or satisfies some weaker conditions. This is done by showing that each null hypersurface of this type can be used to construct a family of three-dimensional Riemannian metrics which collapses with bounded curvature and applying known results on the topology of manifolds which collapse. The result is then applied to general relativity, where it implies a restriction on the topology of smooth compact Cauchy horizons in spacetimes with various types of reasonable matter content. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9510002 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9510002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152077 | |
| dc.subject | Differential Geometry | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Compact null hypersurfaces and collapsing Riemannian manifolds | |
| dc.type | text |