Parametrizations of dark energy model in the background of non-canonical scalar field in Einstein–Aether Gravity

In the present work, we try to build up an observationally feasible cosmological model within the framework of generalized Einstein–Aether gravity using the non-canonical scalar field type dark energy. In this context, we have considered three well-known parametrizations of the Equation of State (EoS) parameter of the non-canonical scalar field, namely the Chevallier–Polarski–Linder (CPL) parametrization, Jassal–Bagla–Padmanabhan (JBP) parametrization, and Barboza–Alcaniz (BA) parametrization. We have also considered two new parametrizations, which is a well behaved function of the redshift z over the entire cosmological evolution, i.e., z∈[−1,∞]. In order to test the viability of this theoretical model, we compare our theoretical results with several observational data by employing the χ2-minimization technique. We use the observational data from three compilations of the Type Ia supernovae (SN Ia) dataset: the Union2.1 compilation, the joint light-curve analysis (JLA), and the Pantheon sample. We compute the present values of Hubble parameter (H0) and deceleration parameter (q0) and compare them to the most recent measured values. We also examine how the potential V(z) and the deceleration parameter q(z) evolve as a function of z.