Dark Energy from Gauss-Bonnet and non-minimal couplings

Abstract

We consider a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. Exact cosmological solutions were found in absence of potential, that give equations of state of dark energy consistent with current observational constraints, but with different asymptotic behaviors depending on the couplings of the model. A detailed reconstruction procedure is given for the scalar potential and the Gauss-Bonnet coupling for any given cosmological scenario. Particularly, we consider conditions for the existence of a variety of cosmological solutions with accelerated expansion, including quintessence, phantom, de Sitter, Little Rip. For the case of quintessence and phantom we have found a scalar potential of the Albrecht-Skordis type, where the potential is an exponential with a polynomial factor.

arXiv comment12 pages, 5 figures, to appear in PRD

References in corpus (54)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological Constant - the Weight of the Vacuum
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• 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
• BVRI Light Curves for 22 Type Ia Supernovae
• Gauss-Bonnet dark energy
• Scaling solutions in general non-minimal coupling theories
• Curvature quintessence matched with observational data
• Dark Matter and Dark Energy
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Scalar-tensor gravity in an accelerating universe
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Extended Quintessence
• Phenomenology of a realistic accelerating universe using only Planck-scale physics
• Quintessence, the Gravitational Constant, and Gravity
• The Little Rip
• Viscous Little Rip Cosmology
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Scalar-Tensor Models of Normal and Phantom Dark Energy
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Superquintessence
• Quintessence and Gravitational Waves
• Tracking Extended Quintessence
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• Evolution of cosmological perturbations in non-singular string cosmologies
• Constraints on Gauss-Bonnet Gravity in Dark Energy Cosmologies
• Natural Quintessence and Large Extra Dimensions
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Non-minimal coupling, exponential potentials and the $w<-1$ regime of dark energy
• General Non-minimal Kinetic coupling to gravity
• Reconstruction of the Scalar-Tensor Lagrangian from a LCDM Background and Noether Symmetry
• de Sitter attractors in generalized gravity
• Non-minimal Kinetic coupling to gravity and accelerated expansion
• Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory
• On compatibility of string effective action with an accelerating universe
• Extended Quintessence and its Late-time Domination
• Gauss-Bonnet dark energy by Lagrange multipliers
• Phantom without ghost
• Late time cosmological scenarios from scalar field with Gauss Bonnet and non-minimal kinetic couplings

Cited by in corpus (14)

• Teleparallel quintessence with a nonminimal coupling to a boundary term
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Observational Tests of Gauss-Bonnet Like Dark Energy Model
• Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$
• General aspects of Gauss-Bonnet models without potential in dimension four
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Slow-roll inflation from massive vector fields non-minimally coupled to gravity
• Cosmological fluids with boundary term couplings
• Late cosmic acceleration in a vector--Gauss-Bonnet gravity model
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• Cosmology in a model with Lagrange multiplier, and Gauss-Bonnet and non-minimal kinetic couplings
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings
• Intermediate evolution using SNIa, and BAO