An analytic cylindrically symmetric solution for collapsing dust
| dc.creator | Hennig, J. | |
| dc.creator | Neugebauer, G. | |
| dc.date | 2004-09-27 | |
| dc.date.accessioned | 2026-07-07T03:29:00Z | |
| dc.date.available | 2026-07-07T03:29:00Z | |
| dc.description | Dust configurations are the simplest models for astrophysical objects. Here we examine the gravitational collapse of an infinite cylinder of dust and give an analytic interior solution. Surprisingly, starting with a cylindrically symmetric ansatz one arrives at a 3-space with constant curvature, i.e. the resulting metric describes a piece of the Friedman interior of the Oppenheimer-Snyder collapse. Indeed, by introducing double polar coordinates, a 3-space of constant curvature can be interpreted as a cylindrically symmetric space as well. This result shows afresh that topology is not fixed by the Einstein equations. | |
| dc.description | 8 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0409096 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0409096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35049 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | An analytic cylindrically symmetric solution for collapsing dust | |
| dc.type | text |