The dispersion of growth of matter perturbations in f(R) gravity

Abstract

We study the growth of matter density perturbations delta_m for a number of viable f(R) gravity models that satisfy both cosmological and local gravity constraints, where the Lagrangian density f is a function of the Ricci scalar R. If the parameter m=Rf_{,RR}/f_{,R} today is larger than the order of 10^{-6}, linear perturbations relevant to the matter power spectrum evolve with a growth rate s=d (ln delta_m)/d (ln a) (a is the scale factor) that is larger than in the LCDM model. We find the window in the free parameter space of our models for which spatial dispersion of the growth index gamma_0= gamma(z=0) (z is the redshift) appears in the range of values 0.40< gamma_0<0.55, as well as the region in parameter space for which there is essentially no dispersion and gamma_0 converges to values around 0.40<gamma_0<0.43. These latter values are much lower than in the LCDM model. We show that these unusual dispersed or converged spectra are present in most of the viable f(R) models with m(z=0) larger than the order of 10^{-6}. These properties will be essential in the quest for f(R) modified gravity models using future high-precision observations and they confirm the possibility to distinguish clearly most of these models from the LCDM model.

arXiv comment11 pages, 7 figures

References in corpus (80)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Cosmological Imprint of an Energy Component with General Equation of State
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• The Cosmological Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Curvature Quintessence
• Disappearing cosmological constant in f(R) gravity
• Cluster Abundance Constraints on Quintessence Models
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Cosmic Growth History and Expansion History
• Reconstructing Dark Energy
• Conditions for the cosmological viability of f(R) dark energy models
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Curvature quintessence matched with observational data
• Are f(R) dark energy models cosmologically viable ?
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• 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
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Solar System constraints to general f(R) gravity
• The pattern of growth in viable f(R) cosmologies
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• f(R) Gravity and Chameleon Theories
• Dynamics of Linear Perturbations in f(R) Gravity
• 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
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• The shape of the SDSS DR5 galaxy power spectrum
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Cosmology with x-matter
• Solar System tests DO rule out 1/R gravity
• Probing Cosmic Acceleration Beyond the Equation of State: Distinguishing between Dark Energy and Modified Gravity Models
• The stability of modified gravity models
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Solar System experiments do not yet veto modified gravity models
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• f(R) actions, cosmic acceleration and local tests of gravity
• On the Growth of Perturbations as a Test of Dark Energy
• Weak Lensing Probes of Modified Gravity
• On the growth of linear perturbations
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Cosmological Constraints on f(R) Acceleration Models
• Modified-Source Gravity and Cosmological Structure Formation
• On model selection forecasting, Dark Energy and modified gravity
• On the evolution of density perturbations in f(R) theories of gravity
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The growth of matter perturbations in f(R) models
• Observational constraints on the linear fluctuation growth rate
• Power-laws f(R) theories are cosmologically unacceptable
• Growth factor parametrization and modified gravity
• Effects of dark sectors' mutual interaction on the growth of structures
• The growth of matter perturbations in some scalar-tensor DE models
• Growth Index of DGP Model and Current Growth Rate Data
• The effect of modified gravity on weak lensing
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• Constraining $f(R)$ gravity models with disappearing cosmological constant
• How to Distinguish Dark Energy and Modified Gravity?
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Growth factor parametrization in curved space
• Contiguous redshift parameterizations of the growth index
• A parametrization for the growth index of linear matter perturbations
• New Parametrization for the Scale Dependent Growth Function in General Relativity
• Optimizing future imaging survey of galaxies to confront dark energy and modified gravity models
• Extending the Gravitational Growth Framework
• Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
• Reconstructing Cosmological Matter Perturbations using Standard Candles and Rulers

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• Viable f(T) models are practically indistinguishable from LCDM
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• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
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• Planck-PR4 anisotropy spectra show (better) consistency with General Relativity
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
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• Observational Constraints on Growth Index with Cosmography
• The SRG-eROSITA All-Sky Survey : Constraints on f(R) Gravity from Cluster Abundance
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Model Independent Tests of Cosmic Gravity
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• Cosmic Growth in $f(T)$ Teleparallel Gravity
• An updated analysis of two classes of f(R) theories of gravity
• Linear perturbations in viable f(R) theories
• The End of Cosmic Growth
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Modifying Gravity at Low Redshift
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• Dark energy homogeneity in general relativity: Are we applying it correctly?
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• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• Constraints on scalar-tensor theories of gravity from observations
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• Intensity mapping of post-reionization 21-cm signal and its cross-correlations as a probe of $f(R)$ gravity
• Dynamical dark energy models with singularities in the view of the forthcoming results of the growth observations
• Modified gravity with disappearing cosmological constant
• Large-scale structure power spectrum from scalar-tensor gravity
• Redshift Sensitivity of the Kaiser Effect
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• $\Lambda$CDM without cosmological constant
• Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity
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• Probing gravity with non-linear clustering in redshift space
• Implications of a high growth index on the variation of $G$