Phantom cosmology as a simple model with dynamical complexity
arXiv:astro-ph/0401293 · doi:10.1103/PhysRevE.72.036221
Abstract
We 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.
RevTeX4, 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)
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Cited by in corpus (20)
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- The stability of modified gravity models
- Coupled oscillators as models of quintom dark energy
- Interacting generalized Chaplygin gas model in non-flat universe
- Quintom Cosmology with General Potentials
- Noether symmetry approach in phantom quintessence cosmology
- Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
- AIC, BIC, Bayesian evidence against the interacting dark energy model
- New "Bigs" in cosmology
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- Anti-de-Sitter Island-Universes from 5D Standing Waves
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- Thermodynamics of Spinor Quintom
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- Phantom fields: bounce solutions in the early Universe and S-branes
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- Phantom thick brane in 5D bulk