Gauss-Bonnet Cosmology Unifying Late and Early-time Acceleration Eras with Intermediate Eras

Abstract

In this paper we demonstrate that with vacuum $F(G)$ gravity it is possible to describe the unification of late and early-time acceleration eras with the radiation and matter domination era. The Hubble rate of the unified evolution contains two mild singularities, so called Type IV singularities, and the evolution itself has some appealing features, such as the existence of a deceleration-acceleration transition at late times. We also address quantitatively a fundamental question related to modified gravity models description of cosmological evolution: Is it possible for all modified gravity descriptions of our Universe evolution, to produce a nearly scale invariant spectrum of primordial curvature perturbations? As we demonstrate, the answer for the $F(G)$ description is no, since the resulting power spectrum is not scale invariant, in contrast to the $F(R)$ description studied in the literature. Therefore, although the cosmological evolution can be realized in the context of vacuum $F(G)$ gravity, the evolution is not compatible with the observational data, in contrast to the $F(R)$ gravity description of the same cosmological evolution.

References in corpus (18)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Inflationary cosmology in modified gravity theories
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Are loop quantum cosmos never singular?
• The evolution of density perturbations in f(R) gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Matter creation in a nonsingular bouncing cosmology
• Singular Inflationary Universe from $F(R)$ Gravity
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• Pre-inflationary primordial perturbations
• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
• Big-Bounce with Finite-time Singularity: The $F(R)$ Gravity Description

Cited by in corpus (10)

• Dynamics of Inflation and Dark Energy from $F(R,\mathcal{G})$ Gravity
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Autonomous Dynamical System of Einstein-Gauss-Bonnet Cosmologies
• Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology
• Gravitational Baryogenesis in Running Vacuum models
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology