%0 Journal Article %T Born-Infeld gravity and its functional extensions %A Odintsov, S. D. %A Olmo, G. J. %A Rubiera-Garcia, D. %J Physical Review D %D 2014 %V 90 %N 4 %I Amer Physical Soc %@ 1550-7998 %G English %F Odintsov_etal2014 %O WOS:000339999700005 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1880), last updated on Tue, 02 Sep 2014 19:30:42 +0000 %X 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. %R 10.1103/PhysRevD.90.044003 %U http://arxiv.org/abs/arXiv:1406.1205 %U https://doi.org/10.1103/PhysRevD.90.044003 %P 044003-8pp