Gravitation Singularities of the Caustic Type
| dc.creator | Sardanashvily, G. | |
| dc.date | 1994-04-13 | |
| dc.date.accessioned | 2026-07-25T17:12:36Z | |
| dc.description | In view of the well-known correspondence between gravitational fields and space-time distributions on a world manifold X, the criterion of gravitation singularities as singularities of these distributions is suggested. In the germ terms, singularities of a (3+1) distribution look locally like singularities of a foliation whose leaves are level surfaces of a real function f on X. If f is a single-valued function, changes of leave topology at critical points of f take place. In case of a multi-valued function f, one can lift the foliation to the total space of the cotangent bundle over X, then extend it over branch points of f and project this extension onto X. Singular points of this projection constitute a Lagrange map caustic by Arnol'd. | |
| dc.description | LaTeX Preprint MSU-TP-94-31 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9404024 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9404024 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/46699 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Gravitation Singularities of the Caustic Type | |
| dc.type | text |