Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term

TL;DR

This paper explores bouncing cosmological models within F(R, G) gravity, demonstrating their ability to resolve singularities and exhibit stable, accelerating behavior consistent with late-time cosmology.

Contribution

It introduces and analyzes bouncing solutions in F(R, G) gravity, including stability and late-time acceleration, advancing understanding of non-singular cosmological models.

Findings

Models exhibit bouncing behavior and resolve Big Bang singularity.

Late-time acceleration consistent with observational data.

Stable solutions under perturbations are identified.

Abstract

In this paper, we have studied the bouncing behavior of the cosmological models formulated at the background of the Hubble function in the F(R, G) theory of gravity, where R and G denote the Ricci scalar and Gauss-Bonnet invariant. The actions of bouncing cosmology are studied under consideration of different viable models and can resolve the difficulty of singularity in standard Big-Bang cosmology. Both models show bouncing behavior and satisfy the bouncing cosmological properties. Models based on dynamical, deceleration, and energy conditions indicate the accelerating behavior at the late evolution time. Phantom at the bounce epoch is analogous to a quintessence behavior. Finally, we formulate the perturbed evolution equations and investigate the stability of two bouncing solutions.