Observational constraints on dark energy model

Abstract

The recent observations support that our universe is flat and expanding with acceleration. A quintessence model with a general relation between the quintessence potential and the quintessence kinetic energy was proposed to explain the phenomenon. The dark energy potential includes both the hyperbolic and the double exponential potentials. We analyze this model in detail by using the recent supernova and the first year Wilkinson Microwave Anisotropy Probe (WMAP) observations. For a flat universe dominated by a dark energy with constant $\omega$ which is a special case of the general model, we find that ${\Omega }_{m0}=0.30_{-0.08}^{+0.06}$ and ${\omega }_{\mathrm{Q}}\le -0.82$, and the turnaround redshift $z_{\mathrm{T}}$ when the universe switched from the deceleration phase to the acceleration phase is $z_{\mathrm{T}}=0.65$. For the general model, we find that ${\Omega }_{m0}\sim 0.3$, ${\omega }_{Q0}\sim -1.0$, $\beta \sim 0.5$ and $z_{\mathrm{T}}\sim 0.67$. A model independent polynomial parameterization is also considered, the best fit model gives ${\Omega }_{m0}=0.40\pm 0.14$, ${\omega }_{Q0}=-1.4$ and $z_{\mathrm{T}}=0.37$.

10 pages, 9 figures, update refererences, use ws-ijmpd style, use new supernova data and add model independent analysis. The updated paper also use a new method, fitting the WMAP data, main results remain unchanged. V4: more references added, accepted for publication in Int. J. Mod. Phys. D

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• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Constraints on alternative models to dark energy
• Constraints on Cardassian Expansion

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• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Age Problem in the Holographic Dark Energy Model
• Growth factor parametrization and modified gravity
• Statefinder parameters for quintom dark energy model
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• Holographic dark energy in the DGP braneworld with GO cutoff
• Energy conditions and current acceleration of the universe
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