Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints

Abstract

We investigate a string-inspired dark energy scenario featuring a scalar field with a coupling to the Gauss-Bonnet invariant. Such coupling can trigger the onset of late dark energy domination after a scaling matter era. The universe may then cross the phantom divide and perhaps also exit from the acceleration. We discuss extensively the cosmological and astrophysical implications of the coupled scalar field. Data from the Solar system, supernovae Ia, cosmic microwave background radiation, large scale structure and big bang nucleosynthesis is used to constrain the parameters of the model. A good Newtonian limit may require to fix the coupling. With all the data combined, there appears to be some tension with the nucleosynthesis bound, and the baryon oscillation scale seems to strongly disfavor the model. These possible problems might be overcome in more elaborate models. In addition, the validity of these constraints in the present context is not strictly established. Evolution of fluctuations in the scalar field and their impact to clustering of matter is studied in detail and more model-independently. Small scale limit is derived for the perturbations and their stability is addressed. A divergence is found and discussed. The general equations for scalar perturbations are also presented and solved numerically, confirming that the Gauss-Bonnet coupling can be compatible with the observed spectrum of cosmic microwave background radiation as well as the matter power spectrum inferred from large scale surveys.

20 pages, 21 figures. New figures and new matterial is included to the astrophysical constraint sections. Several disscussions were extended and improved. Abstract rewriten to comply with the new material in the text. Typos corrected. References added

References in corpus (76)

• Particle Dark Matter: Evidence, Candidates and Constraints
• Efficient Computation of CMB anisotropies in closed FRW models
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Coupled Quintessence
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Curvature Quintessence
• The String Dilaton and a Least Coupling Principle
• The fundamental constants and their variation: observational status and theoretical motivations
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmology with a Primordial Scaling Field
• The Pre-Big Bang Scenario in String Cosmology
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• 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
• Covariant conservation of energy momentum in modified gravities
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• On the spherical collapse model in dark energy cosmologies
• String Theory and Quintessence
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Matter instability in modified gravity
• Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Cosmological perturbations in the Palatini formulation of modified gravity
• Varying Alpha in a More Realistic Universe
• The fate of (phantom) dark energy universe with string curvature corrections
• Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
• Differentiating between Modified Gravity and Dark Energy
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory
• Early-universe constraints on a Primordial Scaling Field
• Conserved charges for gravity with locally AdS asymptotics
• Cosmology with massive neutrinos coupled to dark energy
• The matter power spectrum in f(R) gravity
• Instability of 1-loop superstring cosmology
• Dark energy and cosmological solutions in second-order string gravity
• Moduli Corrections to Gravitational Couplings from String loops
• Challenges for scaling cosmologies
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Growth of perturbations in dark matter coupled with quintessence
• Local and Global Variations of The Fine Structure Constant
• Structure Formation in Inhomogeneous Dark Energy Models
• Cosmology of Mass-Varying Neutrinos Driven by Quintessence: Theory and Observations
• Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
• Tracking Extended Quintessence
• Primordial Magnetic Fields via Spontaneous Breaking of Lorentz Invariance
• Cluster number counts dependence on dark energy inhomogeneities and coupling to dark matter
• Interacting Quintessence, Cosmic Acceleration and the Coincidence Problem
• Evolution of cosmological perturbations in non-singular string cosmologies
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• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Natural Quintessence and Large Extra Dimensions
• Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis
• Dilaton-derived quintessence scenario leading naturally to the late-time acceleration of the Universe
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• Dark Energy: Recent Developments
• Dynamical Relaxation of Dark Energy: A Solution to Early Inflation, Late-time Acceleration and the Cosmological Constant Problem
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• Initial conditions for quintessence after inflation
• Qualitative Analysis of Universes with Varying Alpha
• The CMB spectrum in Cardassian models
• Dark Energy, Scalar-Tensor Gravity and Large Extra Dimensions
• Cosmologies from higher-order string corrections

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