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

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 $\mathcal{L}(\varphi ,X)=f(\varphi )X{\left(\frac{X}{M_{Pl}^4}\right)}^{\alpha -1}-V(\varphi )$, which provides the standard canonical scalar field model for $\alpha =1$ and $f(\varphi )=1$. 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 (${\omega }_{\varphi }(z)$) for dark energy. We have also performed the data analysis for three different functional forms of ${\omega }_{\varphi }(z)$ by using the combination of SN Ia, BAO and CMB datasets. We have found that for all the choices of ${\omega }_{\varphi }(z)$, 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 ${\omega }_{\varphi }(z)$ 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 ${\omega }_{\varphi }$ and a polynomial in $\varphi$ for variable ${\omega }_{\varphi }$.

22 pages, 13 figures

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