Born-Infeld gravity and its functional extensions

Understand

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.