String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy

Abstract

We consider scalar-Gauss-Bonnet and modified Gauss-Bonnet gravities and reconstruct these theories from the universe expansion history. In particular, we are able to construct versions of those theories (with and without ordinary matter), in which the matter dominated era makes a transition to the cosmic acceleration epoch. It is remarkable that, in several of the cases under consideration, matter dominance and the deceleration-acceleration transition occur in the presence of matter only. The late-time acceleration epoch is described asymptotically by de Sitter space but may also correspond to an exact $\Lambda$CDM cosmology, having in both cases an effective equation of state parameter $w$ close to -1. The one-loop effective action of modified Gauss-Bonnet gravity on the de Sitter background is evaluated and it is used to derive stability criteria for the ensuing de Sitter universe.

LaTeX20 pages, 4 figures, version to apear in PRD

References in corpus (50)

• Cosmological Constant - the Weight of the Vacuum
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quantum deSitter cosmology and phantom matter
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Gauss-Bonnet dark energy
• Singularity-free cosmological solutions of the superstring effective action
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Observational constraints on dark energy with generalized equations of state
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• The dS/CFT Correspondence and the Big Smash
• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Cosmologies with Energy Exchange
• Coupled dark energy: Towards a general description of the dynamics
• Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
• Effective equation of state and energy conditions in phantom/tachyon inflationary cosmology perturbed by quantum effects
• The Fate of Bound Systems in Phantom and Quintessence Cosmologies
• The fate of (phantom) dark energy universe with string curvature corrections
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Dark energy and cosmological solutions in second-order string gravity
• A unified approach to scaling solutions in a general cosmological background
• Singularity-free cosmological solutions in quadratic gravity
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• On the way from matter-dominated era to dark energy universe
• Ghost conditions for Gauss-Bonnet cosmologies
• Phantom cosmology with general potentials
• Multidimensional extension of the generalized Chowla-Selberg formula
• Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Phase space geometry in scalar-tensor cosmology
• Big smash of the universe
• Attractor solutions for general hessence dark energy
• Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity
• Explicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime
• Crossing the phantom barrier with purely kinetic multiple k-essence
• One-loop f(R) Gravitational Modified Models
• Coupled oscillators as models of phantom and scalar field cosmologies
• Applications in physics of the multiplicative anomaly formula involving some basic differential operators
• One-loop Effective Potential for a Fixed Charged Self-interacting Bosonic Model at Finite Temperature with its Related Multiplicative Anomaly
• Multi-graviton theory from a discretized RS brane-world and the induced cosmological constant
• Late-time phantom universe in $\mathbf{SO}(1,1)$ dark energy model with exponential potential
• Interacting viscous mixtures

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