Investigating f(R, φ) cosmology with equation of state

The aim of thi s paper is to investigate the field equations of modified f(R, phi) theory of gravity, where R and phi represent the Ricci scalar and scalar potential, respectively. We consider the Friedmann-Robertson-Walker space-time for finding some exact solutions by using different values of equation of state parameter. In this regard, different possibilities of the exact solutions have been discussed for dust universe, radiation universe, ultra-relativistic universe, sub-relativistic universe, stiff universe, and dark energy universe. Mainly power law and exponential forms of the scale factor are chosen for the analysis.