Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Abstract
The cosmological dynamics of a quintessence model based on real gas with general equation of state is presented within the framework of a three-dimensional dynamical system describing the time evolution of the number density, the Hubble parameter, and the temperature. Two global first integrals are found and examples for gas with virial expansion and van der Waals gas are presented. The van der Waals system is completely integrable. In addition to the unbounded trajectories, stemming from the presence of the conserved quantities, stable periodic solutions (closed orbits) also exist under certain conditions and these represent models of a cyclic Universe. The cyclic solutions exhibit regions characterised by inflation and deflation, while the open trajectories are characterised by inflation in a "fly-by" near an unstable critical point.
DOI
https://doi.org/10.1142/S0217751X18500252
Recommended Citation
Ivanov, R.I. & Prodanov, E.M. (2018) Dynamical Analysis of an n−H−T Cosmological Quintessence Real Gas Model with a General Equation of State, Int. J. Mod. Phys. A, 33 (3), 1850025 (2018) arXiv:1902.00556 doi.org/10.1142/S0217751X18500252
Publication Details
Int. J. Mod. Phys. A, 33 (3), 1850025 (2018)
arXiv:1902.00556