Noether symmetry approach in phantom quintessence cosmology

TL;DR

This paper employs the Noether Symmetry Approach to find exact solutions in phantom quintessence cosmology, demonstrating compatibility with observational data and extending the model to include radiation effects.

Contribution

It introduces a novel application of the Noether Symmetry Approach to derive solutions in phantom quintessence cosmology and compares these with observational data.

Findings

Model compatible with supernovae and large scale structure data

Extended model includes radiation and aligns with nucleosynthesis constraints

Potential derived from symmetry conditions enhances theoretical understanding

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.