Dynamics and constraints of the Unified Dark Matter flat cosmologies

Abstract

We study the dynamics of the scalar field FLRW flat cosmological models within the framework of the Unified Dark Matter (UDM) scenario. In this model we find that the main cosmological functions such as the scale factor of the Universe, the scalar field, the Hubble flow and the equation of state parameter are defined in terms of hyperbolic functions. These analytical solutions can accommodate an accelerated expansion, equivalent to either the dark energy or the standard $\Lambda$ models. Performing a joint likelihood analysis of the recent supernovae type Ia data and the Baryonic Acoustic Oscillations traced by the SDSS galaxies, we place tight constraints on the main cosmological parameters of the UDM cosmological scenario. Finally, we compare the UDM scenario with various dark energy models namely $\Lambda$ cosmology, parametric dark energy model and variable Chaplygin gas. We find that the UDM scalar field model provides a large and small scale dynamics which are in fair agreement with the predictions by the above dark energy models although there are some differences especially at high redshifts.

11 pages, 7 figures, published in Physical Review D, 78, 083509, (2008)

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• Observational Constraints on New Exact Inflationary Scalar-field Solutions
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• Exact Solutions in Chiral Cosmology
• Classical and Quantum Solutions in Brans-Dicke Cosmology with a Perfect Fluid
• Dynamics of Chiral Cosmology
• Global dynamics in Einstein-Gauss-Bonnet scalar field cosmology with matter
• Dynamical system analysis in multiscalar-torsion cosmology
• Symmetries of Differential equations and Applications in Relativistic Physics
• Dynamics and chaos in the unified scalar field cosmology II. System in a finite box
• Comment on "A study of phantom scalar field cosmology using Lie and Noether symmetries" [Int. J. Mod. Phys. D 25 (2016) 1650051]