A conformally flat generalized Ricci recurrent spacetime in F(R)-gravity

In the present paper we study a conformally flat generalized Ricci recurrent perfect fluid spacetime with constant scalar as solution of modified $F(R)$-gravity theory. We show that Robertson-Walker is Recurrent if and only it symmetric. The type matter shown to have EoS $\omega=-1$. Some energy conditions are analyzed couple popular toy models $F(R)$-gravity, like $F(R)= R+\alpha R^m $ where $\alpha, m$ constants F(R)=R+\beta RlnR $\beta constant. harmony recent observational studies accelerated expansion universe, both cases exhibit null, weak, dominant fulfill their requirements whereas strong condition violated.