Dark energy cosmology from higher-order, string-inspired gravity, and its reconstruction

2006/05/31 by Shin'ichi Nojiri, Shin’ichi Nojiri, Sergei D. Odintsov +1 · 14 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Galaxies: Formation, Evolution, Phenomena #Geometry #Lambda-CDM model #Mathematical physics #Physics #Quantum gravity #Quantum mechanics #Quintessence #Scalar (mathematics) #Scalar curvature #Scalar field #Theoretical physics #astro-ph #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.74.046004

published as Phys.Rev.D74:046004,2006 · 15 pages, 3 figures, minor changes, published version

arxiv created 2006/07/24 · openalex publication_date 2006/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we investigate the cosmological effects of modified gravity with string curvature corrections added to the Einstein-Hilbert action in the presence of a dynamically evolving scalar field coupled to Riemann invariants. The scenario exhibits several features of cosmological interest for the late universe. We show that higher-order stringy corrections can lead to a class of dark energy models consistent with recent observations. The models can give rise to quintessence without recourse to a scalar field potential. The detailed treatment of the reconstruction program for general scalar-Gauss-Bonnet gravity is presented for any given cosmology. The explicit examples of reconstructed scalar potentials are given for an accelerated (quintessence, cosmological constant, or phantom) universe. Finally, the relation with modified F(G) gravity is established at the classical level and is extended to include third order terms on the curvature.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• de Sitter attractors in generalized gravity
• Cosmological Constant - the Weight of the Vacuum
• Dark energy: the equation of state description versus scalar-tensor or modified gravity
• The cosmological constant and dark energy
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity

Cited by

• Isotropic compact stars in 4 D Einstein–Gauss–Bonnet gravity
• Constraints on a scalar-tensor model with Gauss–Bonnet coupling from SN Ia and BAO observations
• General relativistic limit of f(R) gravity in the horizon scale of black hole
• Generalized Horndeski-like Einstein Gauss-Bonnet inflation with massless primordial gravitons
• Vector field models of inflation and dark energy
• Constraining ƒ(R) Gravity by the Large-Scale Structure
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Dynamics of nonlocal cosmology
• Topological invariant quintessence
• NON-MINIMAL COSMOLOGICAL MODEL IN MODIFIED YANG–MILLS THEORY
• Modified gravity as an alternative for ΛCDM cosmology
• Extremal Cosmological Black Holes in Horndeski Gravity and the Anti-Evaporation Regime
• Homogeneous Cosmologies in Generalized Modified Gravity
• Gauss-Bonnet quintessence: Background evolution, large scale structure, and cosmological constraints