Some bianchi type cosmological models in f(R, ϕ) gravity.

• In this paper, we study three different Bianchi type line elements, like Bianchi type-I (BT-I), Bianchi type-III (BT-III) and Kantowski Sachs space-time in the framework of f (R, ϕ) theory of gravity, where R and ϕ represent the Ricci scalar and the scalar potential function respectively. • We find the exact solution of vacuum field equations of f (R, ϕ) theory by taking valuable assumption that the expansion scalar θ is proportional to the shear scalar σ that is P = Q n. • We analyze that the exact solution satisfied the present cosmic condition of universe and singularity (Big-Bang) is also justified through our evaluated solutions. In this paper, we study three different Bianchi type line elements, like Bianchi type-I (BT-I), Bianchi type-III (BT-III) and Kantowski Sachs space-time in the framework of f (R, ϕ) theory of gravity, where R and ϕ represent the Ricci scalar and the scalar potential function respectively. We find the exact solution of vacuum field equations of f (R, ϕ) theory by taking valuable assumption that the expansion scalar θ is proportional to the shear scalar σ that is P = Q n. We also see some physical parameters like Hubble parameter H , volume scale factor V , average scale factor a , the expansion scalar θ and shear scalar σ for each metric. Finally, we analyze that the exact solution satisfied the present cosmic condition of universe and singularity (Big-Bang) is also justified through our evaluated solutions. [ABSTRACT FROM AUTHOR]