Constraints on $f(R)$ and nDGP Modified Gravity Model Parameters with Cluster Abundances and Galaxy Clustering

Abstract

We present forecasted cosmological constraints from combined measurements of galaxy cluster abundances from the Simons Observatory and galaxy clustering from a DESI-like experiment on two well-studied modified gravity models, the chameleon-screened $f(R)$ Hu-Sawicki model and the nDGP braneworld Vainshtein model. A Fisher analysis is conducted using ${\sigma }_8$ constraints derived from thermal Sunyaev-Zel'dovich (tSZ) selected galaxy clusters, as well as linear and mildly non-linear redshift-space 2-point galaxy correlation functions. We find that the cluster abundances drive the constraints on the nDGP model while $f(R)$ constraints are led by galaxy clustering. The two tracers of the cosmological gravitational field are found to be complementary, and their combination significantly improves constraints on the $f(R)$ in particular in comparison to each individual tracer alone. For a fiducial model of $f(R)$ with ${\text{log}}_{10}(f_{R0})=-6$ and $n=1$ we find combined constraints of $\sigma ({\text{log}}_{10}(f_{R0}))=0.48$ and $\sigma (n)=2.3$, while for the nDGP model with $n_{\text{nDGP}}=1$ we find $\sigma (n_{\text{nDGP}})=0.087$. Around a fiducial General Relativity (GR) model, we find a $95\%$ confidence upper limit on $f(R)$ of $f_{R0}\le 5.68\times 10^{-7}$. Our results present the exciting potential to utilize upcoming galaxy and CMB survey data available in the near future to discern and/or constrain cosmic deviations from GR.

arXiv comment18 pages, 6 figures. Version accepted in PRD

References in corpus (104)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Planck 2013 results. XVI. Cosmological parameters
• Dynamics of dark energy
• Efficient Computation of CMB anisotropies in closed FRW models
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Modified Gravity and Cosmology
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• 4D Gravity on a Brane in 5D Minkowski Space
• Cosmology and the Fate of Dilatation Symmetry
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Toward a halo mass function for precision cosmology: the limits of universality
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• The Confrontation between General Relativity and Experiment
• The Simons Observatory: Science goals and forecasts
• An analytic model for the spatial clustering of dark matter haloes
• Dark Energy after GW170817: dead ends and the road ahead
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• Large-Scale Galaxy Bias
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Cosmic Growth History and Expansion History
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Cosmological Tests of Modified Gravity
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• CMB power spectrum parameter degeneracies in the era of precision cosmology
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Sample Variance Considerations for Cluster Surveys
• Testing General Relativity in Cosmology
• An introduction to the Vainshtein mechanism
• The DESI Experiment, a whitepaper for Snowmass 2013
• The WiggleZ Dark Energy Survey: Improved Distance Measurements to z = 1 with Reconstruction of the Baryonic Acoustic Feature
• Breaking a Dark Degeneracy with Gravitational Waves
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• Tests of Chameleon Gravity
• f(R) Gravity and Chameleon Theories
• Linear Redshift Distortions: A Review
• Power Spectrum Super-Sample Covariance
• DESI and other dark energy experiments in the era of neutrino mass measurements
• Challenges to Self-Acceleration in Modified Gravity from Gravitational Waves and Large-Scale Structure
• Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
• Power Spectrum Correlations Induced by Non-Linear Clustering
• Towards an accurate model of the redshift space clustering of halos in the quasilinear regime
• Convolution Lagrangian perturbation theory for biased tracers
• High-Order Correlations of Peaks and Halos: a Step toward Understanding Galaxy Biasing
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Power Spectrum Covariance of Weak Gravitational Lensing
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the emission line galaxy sample from the anisotropic power spectrum between redshift 0.6 and 1.1
• A Lagrangian effective field theory
• Precision measurement of the local bias of dark matter halos
• Cosmological Tests of Gravity
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• Ghosts in the self-accelerating universe
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Growth rate of structure measurement from anisotropic clustering analysis in configuration space between redshift 0.6 and 1.1 for the Emission Line Galaxy sample
• Nonlinear Cosmological Power Spectra in Real and Redshift--Space
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• Growth of Cosmic Structure: Probing Dark Energy Beyond Expansion
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• New constraints on $f(R)$ gravity from clusters of galaxies
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• The Growth of Correlations in the Matter Power Spectrum
• The Zeldovich approximation
• An analytic model for redshift-space distortions
• The Gaussian streaming model and Lagrangian effective field theory
• Findings of the Joint Dark Energy Mission Figure of Merit Science Working Group
• Wide-Field InfraRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA Final Report
• Recursive Solutions of Lagrangian Perturbation Theory
• Testing Gravity Using Galaxy Clusters: New Constraints on Beyond Horndeski Theories
• On the road to percent accuracy IV: ReACT -- computing the non-linear power spectrum beyond $\Lambda$CDM
• Complete super-sample lensing covariance in the response approach
• Galaxy morphology rules out astrophysically relevant Hu-Sawicki $f(R)$ gravity
• Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release
• Emulators for the non-linear matter power spectrum beyond $\Lambda$CDM
• Fisher Matrices and Confidence Ellipses: A Quick-Start Guide and Software
• Fundamental Physics from Future Weak-Lensing Calibrated Sunyaev-Zel'dovich Galaxy Cluster Counts
• Efficient simulations of large scale structure in modified gravity cosmologies with comoving Lagrangian acceleration
• Matter Power Spectrum Emulator for f(R) Modified Gravity Cosmologies
• Redshift Distortions of Clustering: A Lagrangian Approach
• Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise
• Galaxy power-spectrum responses and redshift-space super-sample effect
• Lagrangian perturbation theory for modified gravity
• Galaxy cluster lensing masses in modified lensing potentials
• Testing Gravity on Cosmic Scales: A Case Study of Jordan-Brans-Dicke Theory
• The modified gravity lightcone simulation project I: Statistics of matter and halo distributions
• Response Approach to the Matter Power Spectrum Covariance
• An accurate perturbative approach to redshift space clustering of biased tracers in modified gravity
• A general framework to test gravity using galaxy clusters I: Modelling the dynamical mass of haloes in $f(R)$ gravity
• Disconnected Covariance of 2-point Functions in Large-Scale Structure
• Cluster gas fraction as a test of gravity
• Nonlinear evolution of initially biased tracers in modified gravity
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Screenings in Modified Gravity: a perturbative approach
• Constraints on Modified Gravity from Sunyaev-Zeldovich Cluster Surveys
• An accurate method of modeling cluster scaling relations in modified gravity
• Improving Constraints on Fundamental Physics Parameters with the Clustering of Sunyaev-Zeldovich Selected Galaxy Clusters

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• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Euclid: Constraining linearly scale-independent modifications of gravity with the spectroscopic and photometric primary probes
• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• Towards an optimal marked correlation function analysis for the detection of modified gravity
• FREmu: Power Spectrum Emulator for $f(R)$ Gravity
• A new test of gravity -- II: Application of marked correlation functions to luminous red galaxy samples
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Machine Learning and Structure Formation in Modified Gravity
• Viability of general relativity and modified gravity cosmologies using high-redshift cosmic probes
• Cosmology with the Roman Space Telescope -- Synergies with CMB lensing
• Marked statistics across the cosmic web: Environmental dependent clustering in modified gravity simulations
• Toward testing gravity with LSST using $E_G$