Cosmological data analysis of f(R) gravity models

Abstract

A class of well-behaved modified gravity models with long enough matter domination epoch and a late-time accelerated expansion is confronted with SNIa, CMB, SDSS, BAO and H(z) galaxy ages data, as well as current measurements of the linear growth of structure. We show that the combination of geometrical probes and growth data exploited here allows to rule out f(R) gravity models, in particular, the logarithmic of curvature model. We also apply solar system tests to the models in agreement with the cosmological data. We find that the exponential of the inverse of the curvature model satisfies all the observational tests considered and we derive the allowed range of parameters. Current data still allows for small deviations of Einstein gravity. Future, high precision growth data, in combination with expansion history data, will be able to distinguish tiny modifications of standard gravity from the LambdaCDM model.

18 pages, 6 figures

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• F(R) gravity's rainbow and its Einstein counterpart
• Cosmological Evolution and Exact Solutions in a Fourth-order Theory of Gravity
• Acceleration of the Universe in f(R) Gravity Models
• A viable logarithmic f(R) model for inflation
• Logarithmic corrected $F(R)$ gravity in the light of Planck 2015
• Future constraints on the Hu-Sawicki modified gravity scenario
• Impact of curvature based geometric constraints on $F(R)$ theory
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• A complete study of conformally flat pseudo-symmetric spacetimes in the theory of F(R)-gravity
• Constraining dark energy using observational growth rate data
• Perspectives for studying the dark energy at z>2 with galaxy surveys
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Modified Starobinsky Inflation
• On Pseudo $B$-symmetric spacetimes and $f(\mathcal{R})$ gravity
• A scan of f(R) models admitting Rindler type acceleration