Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures

Understand

The Eddington-inspired-Born-Infeld scenario (EiBI) can prevent the Big Bang singularity for a matter content whose equation of state is constant and positive.

• In a recent paper we showed that, on the contrary, it is impossible to smooth a big rip in the EiBI setup.
• In fact the situations are still different for other singularities.
• In this paper we show that a big freeze singularity in general relativity (GR) can in some cases be smoothed to a sudden or a type IV singularity under the EiBI scenario.