One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space

Abstract

We discuss the classical and quantum properties of non-local modified Gauss-Bonnet gravity in de Sitter space, using its equivalent representation via string-inspired local scalar-Gauss-Bonnet gravity with a scalar potential. A classical, multiply de Sitter universe solution is found where one of the de Sitter phases corresponds to the primordial inflationary epoch, while the other de Sitter space solution--the one with the smallest Hubble rate--describes the late-time acceleration of our universe. A Chameleon scenario for the theory under investigation is developed, and it is successfully used to show that the theory complies with gravitational tests. An explicit expression for the one-loop effective action for this non-local modified Gauss-Bonnet gravity in the de Sitter space is obtained. It is argued that this effective action might be an important step towards the solution of the cosmological constant problem.

latex file, 17 pages, 4 figures. Published version. Significative improvement and new references

References in corpus (24)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Dynamics of Nonlocal Cosmology
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Accelerating cosmologies from non-local higher-derivative gravity
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Correspondence between Holographic and Gauss-Bonnet dark energy models
• Route to nonlocal cosmology
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Newtonian limit of nonlocal cosmology
• Ghost conditions for Gauss-Bonnet cosmologies
• On the Stability of a class of Modified Gravitational Models
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Theory of gravitation theories: a no-progress report
• A Simplified Quantum Gravitational Model of Inflation
• Dark energy generated from a (super)string effective action with higher order curvature corrections and a dynamical dilaton