Phantom cosmology as a simple model with dynamical complexity

dc.creatorSzydlowski, Marek
dc.creatorKrawiec, Adam
dc.creatorCzaja, Wojciech
dc.date2004-01-15
dc.date2005-10-08
dc.date.accessioned2026-07-07T12:46:47Z
dc.date.available2026-07-07T12:46:47Z
dc.descriptionWe study the Friedmann-Robertson-Walker model with phantom fields modelled in terms of scalar fields. We apply the Ziglin theory of integrability and find that the flat model is nonintegrable. Then we cannot expect to determine simple analytical solutions of the Einstein equations. We demonstrate that there is only a discrete set of parameters where this model is integrable. For comparison we describe the phantoms fields in terms of the barotropic equation of state. It is shown that in the contrast to the phantoms modelled as scalar fields, the dynamics is always integrable and phase portraits are constructed. In this case we find the duality relation.
dc.descriptionRevTeX4, 11 pages, 2 figures; rewritten (v.2); new section on complex dynamics in cases with and without spontaneous symmetry breaking (v.3); this new section on numerical analysis of complex dynamics was dropped, upload to match version in PRE (v.4)
dc.identifierhttps://arxiv.org/abs/astro-ph/0401293
dc.identifierhttp://arxiv.org/abs/astro-ph/0401293
dc.identifierPhys.Rev.E72:036221,2005
dc.identifierdoi:10.1103/PhysRevE.72.036221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221505
dc.subjectAstrophysics
dc.titlePhantom cosmology as a simple model with dynamical complexity
dc.typetext

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