Modeling of Bianchi type I accelerating Universe in Lyra’s manifold

Abstract

In this paper, we have investigated a spatially homogeneous and anisotropic accelerating Universe in Lyra’s geometry. Einstein’s field equations are solved explicitly by assuming dependent relation among the directional scale factors. In this paper, we use observational [Formula: see text] data (OHD) and Pantheon compilation of recent type Ia supernovae (SN Ia) data to constrain the model parameters of the Universe in derived model. We constrained the present value of Hubble parameter [Formula: see text] and deceleration parameter [Formula: see text] as [Formula: see text] km/s/Mpc and [Formula: see text] together with transition redshift [Formula: see text]. We have also constrained the present age of the Universe in close vicinity of its observational value. Furthermore, we diagnose the statefinder parameters to know a geometrical discrimination of this model with standard [Formula: see text]CDM model. Some physical aspects of the Universe are also discussed.