PT Journal AU Odintsov, SD Olmo, GJ Rubiera-Garcia, D TI Born-Infeld gravity and its functional extensions SO Physical Review D JI Phys. Rev. D PY 2014 BP 044003 EP 8pp VL 90 IS 4 DI 10.1103/PhysRevD.90.044003 LA English AB We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the connection and an Einstein-like representation for the metric field equations of this family of theories. For particular cases we consider applications to the early-time cosmology and find that nonsingular universes with a cosmic bounce are very generic and robust solutions. ER