Mapping the Chevallier-Polarski-Linder parametrization onto Physical Dark Energy Models

Abstract

We examine the Chevallier-Polarski-Linder (CPL) parametrization, in the context of quintessence and barotropic dark energy models, to determine the subset of such models to which it can provide a good fit. The CPL parametrization gives the equation of state parameter $w$ for the dark energy as a linear function of the scale factor $a$, namely $w=w_0+w_a(1-a)$. In the case of quintessence models, we find that over most of the $w_0$, $w_a$ parameter space the CPL parametrization maps onto a fairly narrow form of behavior for the potential $V(\varphi )$, while a one-dimensional subset of parameter space, for which $w_a=\kappa (1+w_0)$, with $\kappa$ constant, corresponds to a wide range of functional forms for $V(\varphi )$. For barotropic models, we show that the functional dependence of the pressure on the density, up to a multiplicative constant, depends only on $w_i=w_a+w_0$ and not on $w_0$ and $w_a$ separately. Our results suggest that the CPL parametrization may not be optimal for testing either type of model.

11 pages, 5 figures, typo corrected in Eq. (17), to appear in Phys. Rev. D

References in corpus (14)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Reconstructing Dark Energy
• Thawing quintessence with a nearly flat potential
• Hilltop Quintessence
• Calibrating Dark Energy
• Affine equation of state from quintessence and k-essence fields
• Quintessence's Last Stand?
• Quintessence in a quandary: prior dependence in dark energy models
• Dark Energy Scaling from Dark Matter to Acceleration

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