The constrained cosmological model in Lyra geometry

Abstract

In this paper, we study a flat homogeneous FLRW model in Lyra geometry which is described by a time-dependent displacement vector. We consider an appropriate parametrization of the energy density of scalar field [Formula: see text] in terms of the cosmic scale factor. The result shows two transitions from deceleration to acceleration. Furthermore, we constrain the model parameter [Formula: see text] and the displacement field vector [Formula: see text] using the recent supernovae data, Hubble dataset of 77 points and their joint data which predict the accelerated expanding phase of the universe in late times. The effective equation of state parameter [Formula: see text] speculates [Formula: see text]CDM in late times. Finally, we use the statefinder diagnostic to differentiate our model from the various dark energy models.