Reconstruction of f(R) gravity models from observations

Abstract

We investigate the method for the reconstruction of f(R) gravity models both from the background evolution observations and from the large scale structure measurements. Due to the lack of the first principles, one needs to rely on the observations to build the $f(R)$ gravity models. We show that the general $f(R)$ models can be specified if the 5\% accuracy level large scale structure formation observations will be available in the near future.

17 pages, 4 figures

References in corpus (35)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Measuring the dark side (with weak lensing)
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Approaches to Understanding Cosmic Acceleration
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• f(R) Gravity and Chameleon Theories
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Extreme neutron stars from Extended Theories of Gravity
• Searching for modified growth patterns with tomographic surveys
• Cluster Constraints on f(R) Gravity
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• On the growth of linear perturbations
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• On the evolution of density perturbations in f(R) theories of gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• The XMM Cluster Survey: Testing chameleon gravity using the profiles of clusters
• Magnetic Neutron Stars in f(R) gravity
• The effect of modified gravity on weak lensing
• Conjoined constraints on modified gravity from the expansion history and cosmic growth
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: constraining modified gravity
• Testing the quasi-static approximation in $f(R)$ gravity simulations
• EFTCAMB/EFTCosmoMC: massive neutrinos in dark cosmologies
• Practical solutions for perturbed f(R) gravity
• Probing non-standard gravity with the growth index: a background independent analysis
• Jeans Instability in Classical and Modified Gravity
• Gas density profile in dark matter halo in chameleon cosmology
• Constraint on $f(R)$ Gravity through the Redshift Space Distortion
• The Lyman-alpha forest in f(R) modified gravity

Cited by in corpus (6)

• Dark matters on the scale of galaxies
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM
• A note on the dynamical system formulations in $f(R)$ gravity
• The viable f(G) gravity models via reconstruction from the observations
• Pure geometric $f(R)$ branes