Exact vacuum solutions of six dimensional Bianchi Type-I space-time in f (R) theory of gravity

In this paper, we have extended the five dimensional work refer it to [2] regarding the accelerating expansion of the universe to higher six dimension and obtained exact vacuum solutions of six dimensional Bianchi type-I space time in f (R) theory of gravity using metric approach. In particular, two different models of the universe have been investigated using the law of variation of Hubble parameter. We observed that, the first model is singular and second one is non singular. The physical properties of these models have been discussed and evaluated function of Ricci scalar, f (R) for both the models. It is interesting to note that, our five dimensional work explained in [2] and the work of M. Sharif and M. Farasat Shamir ( (2009) in 4 V regarding the universe expansion can be reproduced by reducing the dimensions