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

TL;DR

This paper explores stable super-inflating solutions in f(R)-gravity, demonstrating how scalar field potentials can explain their existence, with new solutions found both analytically and numerically.

Contribution

It introduces a scalar field reformulation to analyze super-inflation in f(R)-gravity and presents new stable solutions supported by analytical and numerical methods.

Findings

Existence of stable super-inflating solutions explained by scalar potentials

New analytical solutions of super-inflation in f(R)-gravity

Numerical verification of the stability of these solutions

Abstract

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.