Non-vacuum solutions of six dimensional Bianchi type-i space-time in f (R) theory of gravity

In the paper (Jaiswal et al 2012), we have obtained the exact non-vacuum perfect fluid solutions of five dimensional Bianchi type-I space-time in the metric version of f (R) theory of gravity considering stiff matter to obtain energy density and pressure of the universe on the lines of Sharif and Shamir (2010). In the present paper, we find two exact non-vacuum perfect fluid solutions of higher six dimensional Bianchi-type-I space-time, which correspond to two models of the universe. The first solution (n ≠ 0) gives a singular model while the second (n =0) provides a non-singular model. The functionf (R) are also evaluated for both the models. Finally the physical properties of these models have been discussed. The work of Sharif and Shamir (2010) inV₄ and our earlier five dimensional work explained in (Jaiswal et al 2012), can be reproduced from our work carried out in the present paper by reducing the dimensions.