Bianchi-III Cosmological Model in Saez-Ballester Theory of Gravity with BVDP

Abstract

In present communication an exact solution of modified EFE (Einstein's field equations) for spatially homogeneous and anisotropic Bianchi type-III space-time have been investigated in scalar-tensor Saez-Ballester theory of gravity (Phys. Lett. A113, 467 (1986)) along with time dependent deceleration parameter. We have presented some accelerating cosmological models by assuming bilinearly varying deceleration parameter (BVDP, as suggested by Mishra et al. (2016). Present study indicates that our universe shows deceleration expansion for early time and accelerating expansion at present time i.e. transitional phase of universe expansion. We have also presented the physical and geometrical properties of the models with the help of pictorial representation.