The viable f(G) gravity models via reconstruction from the observations

Abstract

We reconstruct the viable f(G) gravity models from the observations and provide the analytic solutions that well describe our numerical results. In order to avoid unphysical challenges that occur during the numerical reconstruction, we generalize f(G) models into f(GA), which is the simple extension of f(G) models with the introduction of a constant A parameter. We employ several observational data together with the stability condition, which reads d2f/dG2 > 0 and must be satisfied in the late-time evolution of the universe, to give proper initial conditions for solving the perturbation equation. As a result, we obtain the analytic functions that match the numerical solutions. Furthermore, it might be interesting if one can find the physical origin of those analytic solutions and its cosmological implications.

arXiv comment17 pages, 9 figures

References in corpus (55)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Planck 2013 results. XVI. Cosmological parameters
• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Modified Gravity and Cosmology
• f(R) theories
• The Case for a Positive Cosmological Lambda-term
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Cosmological Constant
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• 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
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Einstein's Other Gravity and the Acceleration of the Universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological Tests of Modified Gravity
• The Cosmology of Generalized Modified Gravity Models
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Parameterized Beyond-Einstein Growth
• Construction of cosmologically viable f(G) gravity models
• 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
• Accelerated Cosmological Models in Ricci squared Gravity
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• From inflation to dark energy in the non-minimal modified gravity
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Solar system constraints on f(G) gravity models
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - II: Fitting Techniques
• Probing Gravitation, Dark Energy, and Acceleration
• Cosmological Constraints on $f(G)$ Dark Energy Models
• Internal Robustness of Growth Rate data
• A new approach to reconstruction methods in $f(R)$ gravity
• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• Constraining dark energy with Hubble parameter measurements: an analysis including future redshift-drift observations
• Conjoined constraints on modified gravity from the expansion history and cosmic growth
• Virialization in Dark Energy Cosmology
• Exploring uncertainties in dark energy constraints using current observational data with Planck 2015 distance priors
• Probing non-standard gravity with the growth index: a background independent analysis
• Spherical collapse model with non-clustering dark energy
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Constraint on $f(R)$ Gravity through the Redshift Space Distortion
• Cosmological constraints on a classical limit of quantum gravity
• Linear growth of matter density perturbations in f(R,G) theories
• Reconstruction of f(R) gravity models from observations

Cited by in corpus (3)

• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Cosmological perturbations in f(G) gravity
• Testing Gauss-Bonnet Gravity with DESI BAO Data