Cosmological evolutions of $F(R)$ nonlinear massive gravity

Recently a new extended nonlinear massive gravity model has been proposed which includes the $F(R)$ modifications to the de Rham–Gabadadze–Tolley model. We follow the $F(R)$ nonlinear massive gravity and study its implications on cosmological evolutions. We derive the critical points of the cosmic system and study the corresponding kinetics by performing the phase-plane analysis.