Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages

TL;DR

This paper investigates the stability of hyperbolic cosine and matter-dominated bounce cosmologies within F(R,G) modified gravity, demonstrating stability for the hyperbolic model but not for the matter-dominated one at late times.

Contribution

It reconstructs and analyzes the late-time stability of two bounce scenarios in F(R,G) gravity, highlighting the stability of the hyperbolic cosine model.

Findings

Hyperbolic cosine bounce model is stable at late times.

Matter-dominated bounce model does not meet stability conditions.

Provides insights into the late-stage behavior of bounce cosmologies in F(R,G) gravity.

Abstract

The stability of two different bounce scenarios from F(R,G) modified gravity at later times is studied, namely a hyperbolic cosine bounce model and a matter-dominated one. After describing the main characteristics of F(R,G) modified gravity, the two different bounce scenarios stemming from this theory are reconstructed and their stability at late stages is discussed. The stability of the hyperbolic cosine model is proven, while the concrete matter-bounce model here chosen does not seem to accomplish the necessary conditions to be stable at later times.