Redshift space distortions in f(R) gravity

Abstract

We use large volume N-body simulations to predict the clustering of dark matter in redshift space in f(R) modified gravity cosmologies. This is the first time that the nonlinear matter and velocity fields have been resolved to such a high level of accuracy over a broad range of scales in this class of models. We find significant deviations from the clustering signal in standard gravity, with an enhanced boost in power on large scales and stronger damping on small scales in the f(R) models compared to GR at redshifts z<1. We measure the velocity divergence (P_θθ) and matter (P_δδ) power spectra and find a large deviation in the ratios \sqrt{P_θθ/P_δδ} and P_δθ/P_δδ, between the f(R) models and GR for 0.03<k/(h/Mpc)<0.5. In linear theory these ratios equal the growth rate of structure on large scales. Our results show that the simulated ratios agree with the growth rate for each cosmology (which is scale dependent in the case of modified gravity) only for extremely large scales, k<0.06h/Mpc at z=0. The velocity power spectrum is substantially different in the f(R) models compared to GR, suggesting that this observable is a sensitive probe of modified gravity. We demonstrate how to extract the matter and velocity power spectra from the 2D redshift space power spectrum, P(k,μ), and can recover the nonlinear matter power spectrum to within a few percent for k<0.1h/Mpc. However, the model fails to describe the shape of the 2D power spectrum demonstrating that an improved model is necessary in order to reconstruct the velocity power spectrum accurately. The same model can match the monopole moment to within 3% for GR and 10% for the f(R) cosmology at k<0.2 h/Mpc at z=1. Our results suggest that the extraction of the velocity power spectrum from future galaxy surveys is a promising method to constrain deviations from GR.

19 pages, 14 figures, accepted for publication in MNRAS

References in corpus (19)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• f(R) Gravity and Chameleon Theories
• Distinguishing Modified Gravity from Dark Energy
• Testing cosmological structure formation using redshift-space distortions
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Cluster Constraints on f(R) Gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Non-linear evolution of f(R) cosmologies I: methodology
• Modelling redshift space distortions in hierarchical cosmologies
• The assembly bias of dark matter haloes to higher orders
• Systematic Effects on Determination of the Growth Factor from Redshift-space Distortions
• BigBOSS: The Ground-Based Stage IV Dark Energy Experiment
• Testing gravity using the growth of large scale structure in the Universe

Cited by in corpus (107)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Cosmological Tests of Modified Gravity
• Testing General Relativity in Cosmology
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the Quasar Sample in configuration space between redshift 0.8 and 2.2
• Tests of Chameleon Gravity
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Testing Gravity using Cosmic Voids
• Modified Gravity-GADGET: A new code for cosmological hydrodynamical simulations of modified gravity models
• Testing General Relativity with 21 cm intensity mapping
• Modified Gravity N-body Code Comparison Project
• An Optical Catalog of Galaxy Clusters Obtained from an Adaptive Matched Filter Finder Applied to SDSS DR6
• The nonlinear matter and velocity power spectra in f(R) gravity
• Nonlinear structure formation in the Cubic Galileon gravity model
• The observational status of Galileon gravity after Planck
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• Exploring Vainshtein mechanism on adaptively refined meshes
• Systematic simulations of modified gravity: symmetron and dilaton models
• Are peculiar velocity surveys competitive as a cosmological probe?
• Constraining chameleon models with cosmology
• Simulating the quartic Galileon gravity model on adaptively refined meshes
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Modeling halo mass functions in chameleon f(R) gravity
• Relativistic scalar fields and the quasi-static approximation in theories of modified gravity
• A clear and measurable signature of modified gravity in the galaxy velocity field
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• A Perturbative Approach to the Redshift Space Power Spectrum: Beyond the Standard Model
• Constraining $f(R)$ gravity by the Large Scale Structure
• Nonlinear structure formation in Nonlocal Gravity
• Scaling relations and mass bias in hydrodynamical f(R) gravity simulations of galaxy clusters
• Galaxy Infall Kinematics as a Test of Modified Gravity
• Validating estimates of the growth rate of structure with modified gravity simulations
• Modeling the nonlinear clustering in modified gravity models I: A fitting formula for matter power spectrum of f(R) gravity
• The Redshift-Space Cluster-Galaxy Cross-Correlation Function: I. Modeling Galaxy Infall onto Millennium Simulation Clusters and SDSS Groups
• Efficient simulations of large scale structure in modified gravity cosmologies with comoving Lagrangian acceleration
• Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys. II. Dark Matter Velocity Statistics
• The Integrated Sachs-Wolfe effect in $f(R)$ gravity
• Dark matter and halo bispectrum in redshift space: theory and applications
• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Experimental constraints on the uncoupled Galileon model from SNLS3 data and other cosmological probes
• Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys - I. The Methodology
• Hierarchical clustering in chameleon $f(R)$ gravity
• Regularized cosmological power spectrum and correlation function in modified gravity models
• The matter power spectrum in redshift space using effective field theory
• Beyond consistency test of gravity with redshift-space distortions at quasi-linear scales
• Large-scale redshift space distortions in modified gravity theories
• Exploring the liminality: properties of haloes and subhaloes in borderline $f(R)$ gravity
• Marked clustering statistics in $f(R)$ gravity cosmologies
• Parametrized modified gravity constraints after Planck
• A Fast Route to Modified Gravitational Growth
• The modified gravity lightcone simulation project I: Statistics of matter and halo distributions
• Information Content of Higher-Order Galaxy Correlation Functions
• Simulations of Galileon modified gravity: Clustering statistics in real and redshift space
• Semi-analytic galaxy formation in f(R)-gravity cosmologies
• Testing Modified Gravity with Cosmic Shear
• Testing for dynamical dark energy models with redshift-space distortions
• ETHOS - an Effective Theory of Structure Formation: detecting dark matter interactions through the Lyman-$\alpha$ forest
• Testing gravity with $E_G$: mapping theory onto observations
• An improved model for the nonlinear velocity power spectrum
• An Optical Catalog of Galaxy Clusters Obtained from an Adaptive Matched Filter Finder Applied to SDSS DR9 Data
• Probing Modified Gravity Theories with ISW and CMB Lensing
• Constraint on $f(R)$ Gravity through the Redshift Space Distortion
• Tests of Gravity with Galaxy Clusters
• Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure
• Revealing modified gravity signal in matter and halo hierarchical clustering
• Simulating galaxy formation in f(R) modified gravity: Matter, halo, and galaxy-statistics
• On the streaming model for redshift-space distortions
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Study on the mapping of dark matter clustering from real space to redshift space
• Clustering and redshift-space distortions in modified gravity models with massive neutrinos
• Real- and redshift-space halo clustering in $f(R)$ cosmologies
• The Lyman-alpha forest in f(R) modified gravity
• Velocity and mass bias in the distribution of dark matter halos
• f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential
• Barry and the BAO Model Comparison
• Zoomed cosmological simulations of Milky Way sized halos in f(R)-gravity
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
• Structure growth in $f(Q)$ cosmology
• 3D Weak Lensing: Modified Theories of Gravity
• Breaking cosmic degeneracies: Disentangling neutrinos and modified gravity with kinematic information
• Constraining Cosmic Expansion and Gravity with Galaxy Redshift Surveys
• Gravitational Waves: A Test for Modified Gravity
• Cosmological Probes of Structure Growth and Tests of Gravity
• Cosmological Constraints from the Anisotropic Clustering Analysis using BOSS DR9
• Probing scalar tensor theories for gravity in redshift space
• The kinematic Sunyaev-Zel'dovich effect of the large-scale structure (I): dependence on neutrino mass
• Galaxy Clustering in 3D and Modified Gravity Theories
• Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
• Reconstruction of f(R) gravity models from observations
• Study on the mapping of halo clustering from real space to redshift space
• Nonlinear stochastic growth rates and redshift space distortions
• Bayesian deep learning for cosmic volumes with modified gravity
• A new test of gravity -- I: Introduction to the method
• Testing modified gravity scenarios with direct peculiar velocities
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Large-scale structure power spectrum from scalar-tensor gravity
• Characterising Dark Energy through supernovae
• Dark Energy Simulations
• Individual halo bias in models of $f(R)$ gravity
• Using strong gravitational lensing to probe the post reionization \HI power spectrum
• Galaxy clustering in modified gravity from full-physics simulations. I: two-point correlation functions
• Quasilinear observables in dark energy cosmologies
• Cluster gravitational redshifts: uncertainties and survey requirements
• Hybrid $P_{\ell }(k)$: general, unified, non-linear matter power spectrum in redshift space
• Probing gravity with non-linear clustering in redshift space