Modified f ( R ) gravity unifying R m inflation with the Λ CDM epoch

We consider modified $f(R)$ gravity which may unify ${R}^{m}$ early-time inflation with late-time $ensuremath{Lambda}mathrm{CDM}$ epoch. It is shown that such a model passes the local tests (Newton law, stability of Earth-like gravitational solution, very heavy mass for additional scalar degree of freedom) and suggests the realistic alternative for general relativity. Various scenarios for the future evolution of $f(R)$ $ensuremath{Lambda}mathrm{CDM}$ era are discussed.