Born-Infeld gravity and its functional extensions
arXiv:1406.1205 · doi:10.1103/PhysRevD.90.044003
Abstract
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 non-singular universes with a cosmic bounce are very generic and robust solutions.
8 pages, revtex4-1 style. Some corrections introduced in abstract, introduction and list of references. Final version to appear in Phys. Rev. D
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