Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem

2006/01/31 by Guido Cognola, E. Elizalde, Emilio Elizalde +4 · 22 citations
Physics and Astronomy · #Acceleration #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Galaxies: Formation, Evolution, Phenomena #General relativity #Hierarchy problem #Lambda-CDM model #Mathematical physics #Metric expansion of space #Physics #Quantum gravity #Quantum mechanics #Quintessence #Theoretical physics #Universe #astro-ph #f(R) gravity #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.73.084007

published as Phys.Rev.D73:084007,2006 · LaTeX file 20 pages, new subsections are added

arxiv created 2006/03/01 · openalex publication_date 2006/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, f(G), is added to the general relativity action. We show that a theory of this kind is endowed with a quite rich cosmological structure: it may naturally lead to an effective cosmological constant, quintessence, or phantom cosmic acceleration, with a possibility for the transition from deceleration to acceleration. It is demonstrated in the paper that this theory is perfectly viable, since it is compliant with the solar system constraints. Specific properties of f(G) gravity in a de Sitter (dS) universe, such as dS and SdS solutions, their entropy, and its explicit one-loop quantization are studied. The issue of a possible solution of the hierarchy problem in modified gravities is also addressed.

Citations

• Palatini formulation of modified gravity with lnR terms
• The existence of Gödel, Einstein, and de Sitter universes
• Cosmological Constant - the Weight of the Vacuum
• Dark energy: the equation of state description versus scalar-tensor or modified gravity
• Stability of modified gravity models
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dynamics of dark energy
• Is cosmic speed-up due to new gravitational physics?
• Entropy and universality of the Cardy-Verlinde formula in a dark energy universe
• Comparison of Approaches to Quantum Correction of Black Hole Thermodynamics
• Curvature Quintessence

Cited by

• Loop quantum cosmology-corrected Gauss–Bonnet singular cosmology
• Scalar field collapse in Gauss–Bonnet gravity
• Gauss–Bonnet gravitational baryogenesis
• Black hole entropy in modified-gravity models
• Charged compact stars in f(\mathcal G) f ( G ) gravity
• Large Hierarchy from Non-Minimal Coupling
• Invisibility of antisymmetric tensor fields in the light of F(R) gravity
• Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and pseudo-Riemannian cases
• Non-minimal Maxwell-modified Gauss–Bonnet cosmologies: inflation and dark energy
• Dynamics of late time universe in f(Q) gravity
• Quasi-cosmological traversable wormholes in f(R) gravity
• Thermodynamic analysis of modified teleparallel gravity involving higher-order torsion derivative terms
• CROSSING OF THE w = -1 BARRIER IN VISCOUS MODIFIED GRAVITY
• On existence of a possible Lorentz invariant modified gravity in Weitzenböck spacetime
• The generalized second law of thermodynamics for interacting f(R) gravity
• New Black Holes Solutions in a Modified Gravity
• Cosmology of modified Gauss-Bonnet gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• Nonminimal scalar-tensor theories
• Noether symmetry analysis of anisotropic universe in modified gravity
• Homogeneous Cosmologies in Generalized Modified Gravity
• Gauss-Bonnet quintessence: Background evolution, large scale structure, and cosmological constraints
• Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane