Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity

Abstract

In this work we shall demonstrate that it is possible to describe in a unified way a primordial bounce with the dark energy era, in the context of Gauss-Bonnet modified gravity. Particularly, the early time bounce has a nearly scale invariant power spectrum of primordial scalar curvature perturbations, while the dark energy era is a viable one, meaning that it mimics the $\Lambda$-Cold-Dark-Matter model and also is compatible with the Planck 2018 data on cosmological parameters. In addition, our analysis indicates that the dark energy era is free from dark energy oscillations, which occur in the context of $f(R)$ gravity. We further addressed the later issue by examining $f(R)$ extensions of Gauss-Bonnet models, and we showed that the $f(R)$ gravity part of the action actually produces the dark energy oscillations at redshifts $z\sim 4$.

PRD accepted

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• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• Late-time constraints on modified Gauss-Bonnet cosmology
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• $R^2$ Inflation Revisited and Dark Energy Corrections
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• A Cosmological Holographic Reconstruction of f(Q) Theory
• Mass gap in non-perturbative quadratic ${\mathcal{R}}^2$ gravity via Dyson-Schwinger
• Bouncing cosmologies from Born-Infeld-type gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity
• Correspondence between particle creation and dark components interaction in the context of $f(\mathcal{G})$ gravity