Remarks on generalized Gauss-Bonnet dark energy

Abstract

The modified gravity with F(R,G) Lagrangian, G is the Gauss-Bonnet invariant, is considered. It is shown that the phantom-divide-line crossing and the deceleration to acceleration transition generally occur in these models. Our results coincide with the known results of f(R)-gravity and f(G)-gravity models. The contribution of quantum effects to these transitions is calculated, and it is shown that in some special cases where there are no transitions in classical level, quantum contributions can induce transitions. The quantum effects are described via the account of conformal anomaly.

11 pages, LaTeX, a paragraph added, to be appeared in Phys. Rev. D

References in corpus (29)

• Dynamics of dark energy
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• The pattern of growth in viable f(R) cosmologies
• Metric-affine f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• The evolution of density perturbations in f(R) gravity
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• f(R) cosmology by Noether's symmetry
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• A viability criterion for modified gravity with an extra force
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• The phase space view of f(R) gravity
• Transition from quintessence to phantom phase in quintom model
• Generalized second law in modified theory of gravity
• Reconstructing f(R) theory according to holographic dark energy
• About Superluminal motions and Special Relativity: A Discussion of some recent Experiments, and the solution of the Causal Paradoxes
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• The w = -1 crossing of the quintom model with slowly-varying potentials
• An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent
• Quantum induced w = -1 crossing of the quintessence and phantom models

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• Physical Attributes of Anisotropic Compact Stars in $f(R,G)$ Gravity
• f(G) modified gravity and the energy conditions
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Gravastars in $f(R,G)$ Gravity
• From Big to Little Rip in modified F(R,G) gravity
• Modified f(G) gravity models with curvature-matter coupling
• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• Tracing the cosmic history by Gauss-Bonnet gravity
• The phase-space of generalized Gauss-Bonnet dark energy
• On thermodynamics second law in the modified Gauss Bonnet gravity
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Crossing the phantom divide line in the Holographic dark energy model in a closed universe
• Crossing the Phantom divide line in the Chaplygin gas model
• Compact relativistic geometries in $f(R,G)$ gravity
• Remarks on generalized scalar-tensor models of dark energy
• Exact Solutions in Modified Gravity Models
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Notes on diffeomorphisms symmetry of $f(R)$ gravity in the cosmological context
• The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology
• Multipole analysis for linearized $f(R)$ gravity with irreducible Cartesian tensors
• Multipole analysis for linearized $f(R,\mathcal{G})$ gravity with irreducible Cartesian tensors
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• The gravitational field outside a spatially compact stationary source in a generic fourth-order theory of gravity
• Crossing the phantom divide with k-essence in brane-worlds
• Acceleration of the universe in matter dominant era by conformal symmetry breaking