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 (43)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Gauss-Bonnet dark energy
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• 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
• One-loop f(R) gravity in de Sitter universe
• Nonlocal Cosmology
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• The pattern of growth in viable f(R) cosmologies
• 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
• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• The stability of modified gravity models
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Varying Alpha in a More Realistic Universe
• The fate of (phantom) dark energy universe with string curvature corrections
• Dark energy and cosmological solutions in second-order string gravity
• 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
• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• 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
• Cosmological tachyon from cubic string field theory
• One-loop f(R) Gravitational Modified Models
• 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
• Exact Renormalization Group for O(4) Gauged Supergravity

Cited by in corpus (38)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Nonlocal gravity and the diffusion equation
• Screening of cosmological constant in non-local gravity
• Exploring Cylindrical Solutions in Modified f(G) Gravity
• Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
• Screening of cosmological constant in non-local cosmology
• De Sitter Universe in Nonlocal Gravity
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• Spherical systems in models of nonlocally corrected gravity
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Reconstruction Procedure in Nonlocal Cosmological Models
• On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model
• Cosmological Solutions of a Nonlocal Model with a Perfect Fluid
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Gauss-Bonnet modified gravity models with bouncing behavior
• Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
• Acausality in Nonlocal Gravity Theory
• Gauss-Bonnet Cosmology Unifying Late and Early-time Acceleration Eras with Intermediate Eras
• De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity
• On stable exponential cosmological solutions in the EGB model with a $\Lambda$-term in dimensions D = 5,6,7,8
• Unimodular $f(G)$ gravity
• Stable exponential cosmological solutions with zero variation of $G$ and three different Hubble-like parameters in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Modified Gauss-Bonnet Gravity with Radiating Fluids
• Noether symmetry in a nonlocal f(T) Gravity
• Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$
• Non-Local Gravity from Hamiltonian Point of View
• Primordial Density Perturbations and Reheating from Gravity
• General aspects of Gauss-Bonnet models without potential in dimension four
• Ghosts in classes of non-local gravity
• Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with a Lambda-term
• Possible Enhancement of High Frequency Gravitational Waves
• Stable exponential cosmological solutions with three different Hubble-like parameters in EGB model with a $\Lambda$-term
• The Impact of $f(\mathcal{G},T)$ Gravity on the Evolution of Cavity in the Cluster of Stars
• Scattering approach for calculating one-loop effective action and vacuum energy
• Reconstruction Procedure for Nonlocal Gauss-Bonnet Models