Noether symmetry approach in phantom quintessence cosmology

Abstract

In the framework of phantom quintessence cosmology, we use the Noether Symmetry Approach to obtain general exact solutions for the cosmological equations. This result is achieved by the quintessential (phantom) potential determined by the existence of the symmetry itself. A comparison between the theoretical model and observations is worked out. In particular, we use type Ia supernovae and large scale structure parameters determined from the 2-degree Field Galaxy Redshift Survey (2dFGRS)and from the Wide part of the VIMOS-VLT Deep Survey (VVDS). It turns out that the model is compatible with the presently available observational data. Moreover we extend the approach to include radiation. We show that it is compatible with data derived from recombination and it seems that quintessence do not affect nucleosynthesis results.

26 pages, 13 figures

References in corpus (14)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Duality and Dilaton
• Unified dark energy thermodynamics: varying w and the -1-crossing
• Internal space structure generalization of the quintom cosmological scenario
• Patch dualities and remarks on nonstandard cosmologies
• Phantom cosmologies and fermions
• Bridging geometries and potentials in DBI cosmologies
• Duality invariance and cosmological dynamics
• Inflation is the generic feature of phantom field-not the big-rip

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