The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by choosing some specific evolution scenario for a cosmological parameter and then estimate the values of the parameters with the help of different observational datasets. In this paper, we have proposed a logarithmic parametrization of q(z) to probe the evolution history of the universe. Using the type Ia supernova, baryon acoustic oscillation and the cosmic microwave background datasets, the constraints on the arbitrary model parameters \(q_{0}\) and \(q_{1}\) are obtained (within \(1\sigma \) and \(2\sigma \) confidence limits) by \(\chi ^{2}\)-minimization technique. We have then reconstructed the deceleration parameter, the total EoS parameter \(\omega _\mathrm{tot}\), the jerk parameter and have compared the reconstructed results of q(z) with other well-known parametrizations of q(z). We have also shown that two model selection criteria (namely, the Akaike information criterion and Bayesian information criterion) provide a clear indication that our reconstructed model is well consistent with other popular models.

We study the accelerated expansion phase of the universe by using the kinematic approach. In particular, the deceleration parameter qis parametrized in a model-independent way. Considering a...

The motivation of the present work is to reconstruct a dark energy model through the dimensionless dark energy functionX(z), which is the dark energy density in units of its present value. In this paper, we have shown that a scalar field \(\phi \) having a phenomenologically chosen X(z) can give rise to a transition from a decelerated to an accelerated phase of expansion for the universe. We have examined the possibility of constraining various cosmological parameters (such as the deceleration parameter and the effective equation of state parameter) by comparing our theoretical model with the latest Type Ia Supernova (SN Ia), Baryon Acoustic Oscillations (BAO) and Cosmic Microwave Background (CMB) radiation observations. Using the joint analysis of the SN Ia\(+\)BAO/CMB dataset, we have also reconstructed the scalar potential from the parametrized X(z). The relevant potential is found, a polynomial in \(\phi \). From our analysis, it has been found that the present model favors the standard \(\Lambda \)CDM model within \(1\sigma \) confidence level.