f(R) Gravity with k-essence scaling relation and Cosmic acceleration

Debashis Gangopadhyay, Somnath Mukherjee

A modified gravity theory with $f(R)=R^2$ coupled to a dark energy lagrangian $L=-V(\varphi )F(X)$ , $X={\nabla }_{\mu }\varphi {\nabla }^{\mu }\varphi$, gives plausible cosmological scenarios when the modified Fried…