TY - JOUR AU - Odintsov, S. D. AU - Olmo, G. J. AU - Rubiera-Garcia, D. PY - 2014 DA - 2014// TI - Born-Infeld gravity and its functional extensions T2 - Phys. Rev. D JO - Physical Review D SP - 044003 EP - 8pp VL - 90 IS - 4 PB - Amer Physical Soc 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. SN - 1550-7998 UR - http://arxiv.org/abs/arXiv:1406.1205 UR - https://doi.org/10.1103/PhysRevD.90.044003 DO - 10.1103/PhysRevD.90.044003 LA - English N1 - WOS:000339999700005 ID - Odintsov_etal2014 ER -