Characterizing the linear growth rate of cosmological density perturbations in an f(R) model

Abstract

We investigate the linear growth rate of cosmological matter density perturbations of a viable f(R) model both numerically and analytically. We find that the growth rate in the scalar-tensor regime can be characterized by a simple analytic formula. We also investigate a prospect of constraining the Compton wavelength scale of the f(R) model with a future weak lensing survey.

13 pages, 7 figures, typos corrected

References in corpus (47)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• 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
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Two new diagnostics of dark energy
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Approaches to Understanding Cosmic Acceleration
• f(R) Gravity and Chameleon Theories
• Distinguishing Modified Gravity from Dark Energy
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Searching for modified growth patterns with tomographic surveys
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Cluster Constraints on f(R) Gravity
• Dark Energy versus Modified Gravity
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Relativistic stars in f(R) gravity, and absence thereof
• Non-linear evolution of f(R) cosmologies I: methodology
• Weak Lensing Probes of Modified Gravity
• On the growth of linear perturbations
• 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
• The dispersion of growth of matter perturbations in f(R) gravity
• The existence of relativistic stars in f(R) gravity
• Differentiating dark energy and modified gravity with galaxy redshift surveys
• Observational constraints on the linear fluctuation growth rate
• Growth factor parametrization and modified gravity
• Finding Evidence for Massive Neutrinos using 3D Weak Lensing
• The growth of matter perturbations in some scalar-tensor DE models
• Consistency test of general relativity from large scale structure of the Universe
• Tests of Gravity from Imaging and Spectroscopic Surveys
• Growth Index of DGP Model and Current Growth Rate Data
• Nonlinear growth in modified gravity theories of dark energy
• The effect of modified gravity on weak lensing
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• A step towards testing general relativity using weak gravitational lensing and redshift surveys
• New Parametrization for the Scale Dependent Growth Function in General Relativity
• On the dangers of using the growth equation on large scales in the Newtonian gauge
• Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations

Cited by in corpus (29)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Dark Energy
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Density perturbations in general modified gravitational theories
• Time dependent couplings in the dark sector: from background evolution to nonlinear structure formation
• Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy
• Structure Formation in the Symmetron Model
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Chameleon dark energy models with characteristic signatures
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Dark energy: investigation and modeling
• Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey
• Reheating after f(R) inflation
• Constraint on reheating after f(R) inflation from gravitational waves
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• Cosmographic constraints on a class of Palatini f(R) gravity
• Parameterizing scalar-tensor theories for cosmological probes
• Linear growth of matter density perturbations in f(R,G) theories
• A cosmological exclusion plot: Towards model-independent constraints on modified gravity from current and future growth rate data
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Distinguishing between $\Lambda$CDM and $f(R)$ gravity models using halo ellipticity correlations in simulations
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part II. Initial conditions
• Parametrization for the Scale Dependent Growth in Modified Gravity
• On the necessity of the revisions for the cosmological matter perturbations from the general relativity
• Parametrizing growth in dark energy and modified gravity models
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Growth of matter perturbations for realistic $F(R)$ models