Tracing the cosmic history by Gauss-Bonnet gravity

Abstract

Cosmic history can be traced considering further curvature contributions inside the gravitational action. Assuming that standard General Relativity can be extended by other curvature invariants, we discuss the possibility that an action containing higher-order curvature terms can fit, in principle, the whole universe evolution. In particular, a theory like $F(R,\mathcal{G})$, with $R$ the Ricci scalar and $\mathcal{G}$ the Gauss-Bonnet topological term, contains all the curvature invariants that, depending on the energy regime, can address inflation, matter dominated and dark energy regimes. In this paper, we investigate this possibility considering how $F(R,\mathcal{G})$ models can lead gravity from ultraviolet to infrared scales. Specifically, we will take into account a cosmographic approach for this purpose.

arXiv comment16 pages, 2 figures. Accepted for publication on Physical Review D

References in corpus (91)

• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Statefinder -- a new geometrical diagnostic of dark energy
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Constraints on the redshift dependence of the dark energy potential
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Gauss-Bonnet dark energy
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Modified gravity and its reconstruction from the universe expansion history
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Extended Gravity Cosmography
• Cosmography: Cosmology without the Einstein equations
• Mimetic Dark Matter
• Dark energy two decades after: Observables, probes, consistency tests
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Extreme neutron stars from Extended Theories of Gravity
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Cosmography of f(R) gravity
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Why the Universe is Just So
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• The Hubble series: Convergence properties and redshift variables
• The Luminosity Distance, the Equation of State, and the Geometry of the Universe
• Extremely energetic Fermi Gamma-Ray Bursts obey spectral energy correlations
• Future supernovae data and quintessence models
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
• Cosmological Constraints on $f(G)$ Dark Energy Models
• Massive, massless and ghost modes of gravitational waves from higher-order gravity
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Comprehensive cosmographic analysis by Markov Chain Method
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Cosmological dynamics of mimetic gravity
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Reconstruction and deceleration-acceleration transitions in modified gravity
• Ghost-free Gauss-Bonnet Theories of Gravity
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Constraining $f(R)$ gravity by the Large Scale Structure
• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• f(G) Noether cosmology
• Newtonian, Post Newtonian and Parameterized Post Newtonian limits of f(R, G) gravity
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Remarks on generalized Gauss-Bonnet dark energy
• Connecting early and late universe by $f(R)$ gravity
• Connecting early and late epochs by f(z)CDM cosmography
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Observational constraints on Gauss-Bonnet cosmology
• High redshift cosmography: new results and implication for dark energy
• Is there a concordance value for $H_0$?
• Perturbative aspects and conformal solutions of F(R) gravity
• Cosmological perfect fluids in Gauss-Bonnet gravity
• Modified gravity revealed along geodesic tracks
• Tension in the Recent Type Ia Supernovae Datasets
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• Dark energy from scalar field with Gauss Bonnet and non-minimal kinetic coupling
• Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term
• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• Light curves of five type Ia supernovae at intermediate redshift
• Noether symmetry for Gauss-Bonnet dilatonic gravity
• Topological invariant quintessence
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
• Starburst galaxies
• Space Debris -- Optical Measurements
• High Redshift Investigation On The Dark Energy Equation of State
• Updated F(T) gravity constraints from high redshift cosmography
• Natural scaling for dark energy

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• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
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• Observational constrained $F(R,\mathcal{G})$ gravity cosmological model and the dynamical system analysis
• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• Geometric Perfect Fluids from Extended Gravity
• Dynamical analysis in regularized $4D$ Einstein-Gauss-Bonnet gravity with non-minimal coupling
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Constraining Parameters for the Accelerating Universe in $f(R,{\mathcal{L}}_m)$ Gravity
• The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology
• Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology
• Friedmann's Universe Controlled by Gauss-Bonnet Modified Gravity
• Thermodynamic parametrization of dark energy
• Late-Time Cosmic Acceleration in Ricci-Gauss-Bonnet Gravity via Gradient Descent Optimization