A general framework to test gravity using galaxy clusters I: Modelling the dynamical mass of haloes in $f(R)$ gravity

Abstract

We propose a new framework for testing gravity using cluster observations, which aims to provide an unbiased constraint on modified gravity models from Sunyaev Zel'dovich (SZ) and X-ray cluster counts and the cluster gas fraction, among other possible observables. Focusing on a popular $f(R)$ model of gravity, we propose a novel procedure to recalibrate mass scaling relations from $\Lambda$CDM to $f(R)$ gravity for SZ and X-ray cluster observables. We find that the complicated modified gravity effects can be simply modelled as a dependence on a combination of the background scalar field and redshift, $f_R(z)/(1+z)$, regardless of the $f(R)$ model parameter. By employing a large suite of N-body simulations, we demonstrate that a theoretically derived tanh fitting formula is in excellent agreement with the dynamical mass enhancement of dark matter haloes for a large range of background field parameters and redshifts. Our framework is sufficiently flexible to allow for tests of other models and inclusion of further observables. The one-parameter description of the dynamical mass enhancement can have important implications on the theoretical modelling of observables and on practical tests of gravity.

20 pages, 10 figures, 1 table

References in corpus (83)

• A Universal Density Profile from Hierarchical Clustering
• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Large scale bias and the peak background split
• The UKIRT Infrared Deep Sky Survey (UKIDSS)
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• The galileon as a local modification of gravity
• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Mass function of dark matter halos
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Covariant Galileon
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• Euclid Definition Study Report
• Ahf: Amiga's Halo Finder
• Chandra Cluster Cosmology Project II: Samples and X-ray Data Reduction
• Cosmological Tests of Modified Gravity
• Precision Determination of the Mass Function of Dark Matter Halos
• Testing X-ray Measurements of Galaxy Clusters with Cosmological Simulations
• Planck 2015 results. XXIV. Cosmology from Sunyaev-Zeldovich cluster counts
• Chandra X-Ray Observatory (CXO):Overview
• The Atacama Cosmology Telescope: Sunyaev-Zel'dovich Selected Galaxy Clusters at 148 GHz from Three Seasons of Data
• The evolution substructure I: a new identification method
• eROSITA Science Book: Mapping the Structure of the Energetic Universe
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• The halo mass function from the dark ages through the present day
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• The Observed Growth of Massive Galaxy Clusters I: Statistical Methods and Cosmological Constraints
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• f(R) Gravity and Chameleon Theories
• Weighing the Giants IV: Cosmology and Neutrino Mass
• Cosmology and Astrophysics from Relaxed Galaxy Clusters II: Cosmological Constraints
• ECOSMOG: An Efficient Code for Simulating Modified Gravity
• Cluster Constraints on f(R) Gravity
• Self Calibration in Cluster Studies of Dark Energy: Combining the Cluster Redshift Distribution, the Power Spectrum and Mass Measurements
• A Unified Description of Screened Modified Gravity
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• ACTPol: A polarization-sensitive receiver for the Atacama Cosmology Telescope
• Astrophysical Tests of Modified Gravity: Constraints from Distance Indicators in the Nearby Universe
• The REFLEX Galaxy Cluster Survey VII: Omega_m and sigma_8 from cluster abundance and large-scale clustering
• New constraints on $f(R)$ gravity from clusters of galaxies
• Dynamical Masses in Modified Gravity
• Testing chameleon gravity with the Coma cluster
• X-ray mass proxies from hydrodynamic simulations of galaxy clusters (paper I)
• Spherical Collapse and the Halo Model in Braneworld Gravity
• Spherical collapse in Galileon gravity: fifth force solutions, halo mass function and halo bias
• The XMM Cluster Survey: Testing chameleon gravity using the profiles of clusters
• Modeling halo mass functions in chameleon f(R) gravity
• Testing General Relativity using the Environmental Dependence of Dark Matter Halos
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• An Extended Excursion Set Approach to Structure Formation in Chameleon Models
• Modified Gravity Tomography
• Chameleon f(R) gravity in the virialized cluster
• Spherical collapse and halo mass function in f(R) theories
• Scaling relations and mass bias in hydrodynamical f(R) gravity simulations of galaxy clusters
• Halo model and halo properties in Galileon gravity cosmologies
• Astrophysical Tests of Modified Gravity: the Morphology and Kinematics of Dwarf Galaxies
• Halo modelling in chameleon theories
• Cluster abundance in chameleon $f(R)$ gravity I: toward an accurate halo mass function prediction
• Exploring the liminality: properties of haloes and subhaloes in borderline $f(R)$ gravity
• Galaxy cluster lensing masses in modified lensing potentials
• A parametrisation of modified gravity on nonlinear cosmological scales
• Excursion set theory for modified gravity: correlated steps, mass functions and halo bias
• Simulation tests of galaxy cluster constraints on chameleon gravity
• Excursion set theory for modified gravity: Eulerian versus Lagrangian environments
• Cluster gas fraction as a test of gravity
• Testing Gravity Theories Using Stars
• Real- and redshift-space halo clustering in $f(R)$ cosmologies
• Zoomed cosmological simulations of Milky Way sized halos in f(R)-gravity
• Universal predictions of screened modified gravity on cluster scales
• Constraining f(R) Gravity with Planck Sunyaev-Zel'dovich Clusters
• Constraints on Modified Gravity from Sunyaev-Zeldovich Cluster Surveys
• An accurate method of modeling cluster scaling relations in modified gravity
• Probing Theories of Gravity with Phase Space-Inferred Potentials of Galaxy Clusters
• Effective Dark Matter Halo catalog in $f(R)$ gravity
• Revisiting the screening mechanism in $f(R)$ gravity
• Environmental screening of dark matter haloes in $f(R)$ gravity
• Estimates of cluster masses in screened modified gravity

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• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Testing Screened Modified Gravity
• Realistic simulations of galaxy formation in f(R) modified gravity
• The gravitational field of X-COP galaxy clusters
• The modified gravity lightcone simulation project I: Statistics of matter and halo distributions
• The Phase Space Structure of Dark Matter Halos
• A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in $f(R)$ gravity
• Tests of Gravity with Galaxy Clusters
• Simulating galaxy formation in f(R) modified gravity: Matter, halo, and galaxy-statistics
• A general framework to test gravity using galaxy clusters IV: Cluster and halo properties in DGP gravity
• Fast generation of mock galaxy catalogues in modified gravity models with COLA
• A general framework to test gravity using galaxy clusters III: Observable-mass scaling relations in $f(R)$ gravity
• The SRG-eROSITA All-Sky Survey : Constraints on f(R) Gravity from Cluster Abundance
• Parametrizations for tests of gravity
• Constraints on $f(R)$ and nDGP Modified Gravity Model Parameters with Cluster Abundances and Galaxy Clustering
• CODEX Weak Lensing Mass Catalogue and implications on the mass-richness relation
• Improved analytical modeling of the non-linear power spectrum in modified gravity cosmologies
• Constraining Chameleon screening using galaxy cluster dynamics
• Probing modified gravity in cosmic filaments
• A general framework to test gravity using galaxy clusters VI: Realistic galaxy formation simulations to study clusters in modified gravity
• A general framework to test gravity using galaxy clusters V: A self-consistent pipeline for unbiased constraints of $f(R)$ gravity
• High-redshift test of gravity using enhanced growth of small structures probed by the neutral hydrogen distribution
• Fingerprints of modified gravity on galaxies in voids
• Testing the rotation versus merger scenario in the galaxy cluster Abell 2107
• Stacked phase-space density of galaxies around massive clusters: Comparison of dynamical and lensing masses
• Galaxy clustering in modified gravity from full-physics simulations. I: two-point correlation functions
• Universality of the halo mass function in modified gravity cosmologies
• Cluster gravitational redshifts: uncertainties and survey requirements