Future Asymptotic Behaviour of Tilted Bianchi models of type IV and VIIh
| dc.creator | Hervik, Sigbjorn | |
| dc.creator | Hoogen, Robert van den | |
| dc.creator | Coley, Alan | |
| dc.date | 2004-09-28 | |
| dc.date.accessioned | 2026-07-07T11:57:36Z | |
| dc.date.available | 2026-07-07T11:57:36Z | |
| dc.description | Using dynamical systems theory and a detailed numerical analysis, the late-time behaviour of tilting perfect fluid Bianchi models of types IV and VII$_h$ are investigated. In particular, vacuum plane-wave spacetimes are studied and the important result that the only future attracting equilibrium points for non-inflationary fluids are the plane-wave solutions in Bianchi type VII$_h$ models is discussed. A tiny region of parameter space (the loophole) in the Bianchi type IV model is shown to contain a closed orbit which is found to act as an attractor (the Mussel attractor). From an extensive numerical analysis it is found that at late times the normalised energy-density tends to zero and the normalised variables 'freeze' into their asymptotic values. A detailed numerical analysis of the type VII$_h$ models then shows that there is an open set of parameter space in which solution curves approach a compact surface that is topologically a torus. | |
| dc.description | 30 pages, many postscript figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0409106 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0409106 | |
| dc.identifier | Class.Quant.Grav.22:607-634,2005 | |
| dc.identifier | doi:10.1088/0264-9381/22/3/010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205939 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Future Asymptotic Behaviour of Tilted Bianchi models of type IV and VIIh | |
| dc.type | text |