Exact Solutions of Bianchi Types $I$ and $V$ Spacetimes in $f(R)$ Theory of Gravity

Understand

In this paper, the crucial phenomenon of the expansion of the universe has been discussed.

• For this purpose, we study the vacuum solutions of Bianchi types $I$ and $V$ spacetimes in the framework of $f(R)$ gravity.
• In particular, we find two exact solutions in each case by using the variation law of Hubble parameter.
• These solutions correspond to two models of the universe.