Anisotropic Bianchi-V dark energy model under the new perspective of accelerated expansion of the universe in Brans–Dicke theory of gravitation

Abstract

In this paper, we have proposed a cosmological model, which is consistent with the new findings of ‘The Supernova Cosmology project’ headed by Saul Perlmutter, and the ‘High-Z Supernova Search team’, headed by Brian Schimdt. According to these new findings, the universe is undergoing an expansion with an increasing rate, in contrast to the earlier belief that the rate of expansion is constant or the expansion is slowing down. We have considered spatially homogeneous and anisotropic Bianchi-V dark energy model in Brans–Dicke theory of gravitation. We have taken the scale factor $a(t)=k t^\alpha e^{\beta t}$, which results into variable deceleration parameter (DP). The graph of DP shows a transition from positive to negative, which shows that universe has passed through the past decelerated expansion to the current accelerated expansion phase. In this context, we have also calculated and plotted various parameters and observed that these are in good agreement with physical and kinematic properties of the universe and are also consistent with recent observations.