Can structure formation distinguish ΛCDM from non-minimal f(R) Gravity?

Abstract

Non-minimally coupled f(R) gravity model is an interesting approach to explain the late time acceleration of the Universe without introducing any exotic matter component in the energy budget of the Universe. But distinguishing such model with the concordance ΛCDM model using present observational data is a serious challenge. In this paper, we address this issue using the observations related to the growth of matter over density g(z) as measured by different galaxy surveys. As background cosmology is not sufficient to distinguish different dark energy models, we first find out the functional form for f(R) (which is non-minimally coupled to the matter lagrangian) that produces the similar background cosmology as in ΛCDM. Subsequently we calculate the growth for the matter over density g(z) for such non minimally coupled f(R) models and compare them with the ΛCDM Universe. We also use the measurements of g(z)σ_{8}(z) by different galaxy surveys to reconstruct the behavior for g(z) and σ_{8}(z) for both the non-minimally coupled f(R) gravity models as well as for the ΛCDM. Our results show that there is a small but finite window where one can distinguish the non-minimally coupled f(R) models with the concordance ΛCDM.

7 pages, Revtex4 style, 5 eps figures, Revised Version, Accepted For Publication In Physical Review D

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Cited by in corpus (18)

• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• Non violation of energy conditions in wormholes modelling
• On the consistency of non-minimally coupled f(R) gravity
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Large Scale Structure Formation in Eddington-inspired Born-Infeld Gravity
• Dynamical analysis of generalised $f(R,\mathcal{L})$ theories
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Physical Parameters for Stable $f(R)$ Models
• Dynamical analysis of nonminimal coupled theories
• Acceleration of the Universe in f(R) Gravity Models
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory