Stable super-inflating cosmological solutions in f(R)-gravity

Understand

We consider super-inflating solutions in modified gravity for several popular families of $f(R)$ functions.

• Using scalar field reformulation of $f(R)$-gravity we describe how the form of effective scalar field potential can be used for explaining existence of stable super-inflation solutions in the theory under consideration.
• Several new solutions of this type have been found analytically and checked numerically.