Generating f(R,𝒢) gravity from type IV singular bouncing cosmology

Abstract

In this paper, we investigate in this paper the Type IV singular bouncing in the framework of [Formula: see text] theory of gravity where [Formula: see text] and [Formula: see text] mean the curvature scalar and the Gauss–Bonnet invariant, respectively. Cosmological [Formula: see text] models constrained by the slow-roll evolution is reconstructed and their explicit forms are provided near the bounce and far away from it. One obtains finally two models whose stability is numerically analyzed in this work. Our results show that the stability of the reconstructed models is very affected by their parameters. The model far from the singularity recovers stability quickly than the model near the singularity.