Born-Infeld cosmology with scalar Born-Infeld matter

Understand

Cosmology in Eddington-inspired Born-Infeld gravity is investigated using a scalar Born-Infeld field (e.g.

• tachyon condensate) as matter.
• In this way, both in the gravity and matter sectors we have Born-Infeld-like structures characterized by their actions and via two separate constants, $\kappa$ and $\alpha_T^2$ respectively.
• With a particular choice of the form of $\dot{\phi}$ (the time derivative of the Born-Infeld scalar), analytical cosmological solutions are found.