Study of parametrized dark energy models with a general non-canonical scalar field

TL;DR

This paper explores dark energy models using a non-canonical scalar field framework, analyzing cosmological solutions and data constraints, and finds consistency with the standard $ ext{ extLambda}$CDM model within observational uncertainties.

Contribution

It introduces a specific non-canonical scalar field model with $ extalpha=2$, derives cosmological solutions, and compares them with observational data to validate the model's viability.

Findings

SN Ia + CMB/BAO data favor past deceleration and recent acceleration.

Reconstructed $ extomega_{ extphi}(z)$ and $q(z)$ are nearly choice-independent.

Results align with $ ext{ extLambda}$CDM model within 1$ extsigma$ confidence.

Abstract

In this paper, we have considered various dark energy models in the framework of a non-canonical scalar field with a Lagrangian density of the form ${\cal L}(\phi, X)=f(\phi)X{\left(\frac{X}{M^{4}_{Pl}}\right)}^{\alpha -1} - V(\phi)$, which provides the standard canonical scalar field model for $\alpha=1$ and $f(\phi)=1$. In this particular non-canonical scalar field model, we have carried out the analysis for $\alpha=2$. We have then obtained cosmological solutions for constant as well as variable equation of state parameter ($\omega_{\phi}(z)$) for dark energy. We have also performed the data analysis for three different functional forms of $\omega_{\phi}(z)$ by using the combination of SN Ia, BAO and CMB datasets. We have found that for all the choices of $\omega_{\phi}(z)$, the SN Ia $+$ CMB/BAO dataset favors the past decelerated and recent accelerated expansion phase of the universe. Furthermore, using the combined dataset, we have observed that the reconstructed results of $\omega_{\phi}(z)$ and $q(z)$ are almost choice independent and the resulting cosmological scenarios are in good agreement with the $\Lambda$CDM model (within the $1\sigma$ confidence contour). We have also derived the form of the potentials for each model and the resulting potentials are found to be a quartic potential for constant $\omega_{\phi}$ and a polynomial in $\phi$ for variable $\omega_{\phi}$.