Stacked phase-space density of galaxies around massive clusters: Comparison of dynamical and lensing masses

Abstract

We present a measurement of average histograms of line-of-sight velocities over pairs of galaxies and galaxy clusters. Since the histogram can be measured at different galaxy-cluster separations, this observable is commonly referred to as the stacked phase-space density. We formulate the stacked phase-space density based on a halo-model approach so that the model can be applied to real samples of galaxies and clusters. We examine our model by using an actual sample of massive clusters with known weak-lensing masses and spectroscopic observations of galaxies around the clusters. A likelihood analysis with our model enables us to infer the spherical-symmetric velocity dispersion of observed galaxies in massive clusters. We find the velocity dispersion of galaxies surrounding clusters with their lensing masses of $1.1\times 10^{15}{h}^{-1}{M}_{\odot }$ to be $1180_{-70}^{+83}km/s$ at the 68\% confidence level. Our constraint confirms that the relation between the galaxy velocity dispersion and the host cluster mass in our sample is consistent with the prediction in dark-matter-only N-body simulations under General Relativity. Assuming that the Poisson equation in clusters can be altered by an effective gravitational constant of $G_{\mathrm{eff}}$, our measurement of the velocity dispersion can place a tight constraint of $0.88<G_{\mathrm{eff}}/G_{\mathrm{N}}<1.29(68\%)$ at length scales of a few Mpc about $2.5$ Giga years ago, where $G_{\mathrm{N}}$ is the Newton's constant.

arXiv comment22 pages, 8 figures, 3 tables. Accepted for publication in MNRAS

References in corpus (105)

• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• 4D Gravity on a Brane in 5D Minkowski Space
• The Average Star Formation Histories of Galaxies in Dark Matter Halos from z=0-8
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Cosmological Parameters from Observations of Galaxy Clusters
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• The ROSAT Brightest Cluster Sample (BCS) - I. The compilation of the sample and the cluster log N-log S distribution
• The ROSAT-ESO Flux Limited X-ray (REFLEX) Galaxy Cluster Survey. V. The cluster catalogue
• The Structure of Dark Matter Haloes in Hierarchical Clustering Models
• Planck 2015 results. XXIV. Cosmology from Sunyaev-Zeldovich cluster counts
• Sample Variance Considerations for Cluster Surveys
• Cosmological Constraints from the SDSS maxBCG Cluster Catalog
• eROSITA Science Book: Mapping the Structure of the Energetic Universe
• Virial Scaling of Massive Dark Matter Halos: Why Clusters Prefer a High Normalization Cosmology
• Cluster Cosmology Constraints from the 2500 deg${}^2$ SPT-SZ Survey: Inclusion of Weak Gravitational Lensing Data from Magellan and the Hubble Space Telescope
• The ROSAT Brightest Cluster Sample (BCS) - IV. The extended sample
• A universal model for halo concentrations
• CMB-S4 Science Book, First Edition
• Properties of spherical galaxies and clusters with an NFW density profile
• The splashback radius as a physical halo boundary and the growth of halo mass
• Evidence for X-ray emission from a large-scale filament of galaxies ?
• Infall Regions of Galaxy Clusters
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing
• LoCuSS: Subaru Weak Lensing Study of 30 Galaxy Clusters
• Cosmological Constraints from Galaxy Clusters in the 2500 square-degree SPT-SZ Survey
• The Average Mass Profile of Galaxy Clusters
• The relation between velocity dispersion and mass in simulated clusters of galaxies: dependence on the tracer and the baryonic physics
• LoCuSS: The slow quenching of star formation in cluster galaxies and the need for pre-processing
• Cosmology and Astrophysics from Relaxed Galaxy Clusters II: Cosmological Constraints
• On the efficiency and reliability of cluster mass estimates based on member galaxies
• Measuring the Ultimate Mass of Galaxy Clusters: Redshifts and Mass Profiles from the Hectospec Cluster Survey (HeCS)
• Are Brightest Halo Galaxies Central Galaxies?
• A universal density slope - velocity anisotropy relation for relaxed structures
• MAMPOSSt: Modelling Anisotropy and Mass Profiles of Observed Spherical Systems. I. Gaussian 3D velocities
• CLASH-VLT: The mass, velocity-anisotropy, and pseudo-phase-space density profiles of the z=0.44 galaxy cluster MACS 1206.2-0847
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• Detection of the Splashback Radius and Halo Assembly bias of Massive Galaxy Clusters
• LoCuSS: Weak-lensing mass calibration of galaxy clusters
• Observational constraints on self-accelerating cosmology
• Challenges to the DGP Model from Horizon-Scale Growth and Geometry
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity
• Toward Unbiased Galaxy Cluster Masses from Line of Sight Velocity Dispersions
• Dynamical Masses in Modified Gravity
• LoCuSS: The steady decline and slow quenching of star formation in cluster galaxies over the last four billion years
• Gravitational redshift of galaxies in clusters as predicted by general relativity
• Probing Dark Matter Haloes with Satellite Kinematics
• LoCuSS: Testing hydrostatic equilibrium in galaxy clusters
• Cluster Galaxy Dynamics and the Effects of Large Scale Environment
• Testing chameleon gravity with the Coma cluster
• Cosmological Constraints on DGP Braneworld Gravity with Brane Tension
• Redshift-Space Distortions with the Halo Occupation Distribution II: Analytic Model
• Spherical Collapse and the Halo Model in Braneworld Gravity
• The Splashback Feature around DES Galaxy Clusters: Galaxy Density and Weak Lensing Profiles
• The XMM Cluster Survey: Testing chameleon gravity using the profiles of clusters
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Supernova limits on brane world cosmology
• A clear and measurable signature of modified gravity in the galaxy velocity field
• Minor merger-induced cold fronts in Abell 2142 and RXJ1720.1+2638
• Scaling relations and mass bias in hydrodynamical f(R) gravity simulations of galaxy clusters
• Mass profiles and galaxy orbits in nearby galaxy clusters from the analysis of the projected phase-space
• The ${\nu }^2$GC Simulations : Quantifying the Dark Side of the Universe in the Planck Cosmology
• Testing Gravity with the Stacked Phase Space around Galaxy Clusters
• Galaxy Infall Kinematics as a Test of Modified Gravity
• Testing Gravity Using Large-Scale Redshift-Space Distortions
• The Redshift-Space Cluster-Galaxy Cross-Correlation Function: I. Modeling Galaxy Infall onto Millennium Simulation Clusters and SDSS Groups
• hCOSMOS: a dense spectroscopic survey of $r⩽21.3$ galaxies in the COSMOS field
• Satellite Kinematics I: A New Method to Constrain the Halo Mass-Luminosity Relation of Central Galaxies
• The mass and anisotropy profiles of galaxy clusters from the projected phase space density: testing the method on simulated data
• Measuring Gravitational Redshifts in Galaxy Clusters
• Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy Clusters
• Galaxy cluster lensing masses in modified lensing potentials
• A Redshift Survey of the Strong Lensing Cluster Abell 383
• Effects of Baryon Dissipation on the Dark Matter Virial Scaling Relation
• The splashback radius of optically selected clusters with Subaru HSC Second Public Data Release
• Major Cluster Mergers and the Location of the Brightest Cluster Galaxy
• Improving the modelling of redshift-space distortions - II. A pairwise velocity model covering large and small scales
• The Cluster-EAGLE project: velocity bias and the velocity dispersion - mass relation of cluster galaxies
• Structure and Evolution of Galaxy Clusters: Internal Dynamics of ABCG 209 at z~0.21
• A general framework to test gravity using galaxy clusters I: Modelling the dynamical mass of haloes in $f(R)$ gravity
• The Phase Space Structure of Dark Matter Halos
• Modeling the Phase-Space Distribution around Massive Halos
• Testing gravity on cosmological scales with cosmic shear, cosmic microwave background anisotropies, and redshift-space distortions
• Towards a non-Gaussian model of redshift space distortions
• Gravitational Redshifts in Simulated Galaxy Clusters
• The late-time radio behavior of GRB afterglows: testing the standard model
• Clusters Have Edges: The Projected Phase SpaceStructure of SDSS redMaPPer Clusters
• On the streaming model for redshift-space distortions
• Current constraints on deviations from General Relativity using binning in redshift and scale
• LoCuSS: The splashback radius of massive galaxy clusters and its dependence on cluster merger history
• The Subaru HSC Galaxy Clustering with Photometric Redshift I: Dark Halo Masses Versus Baryonic Properties of Galaxies at 0.3<z<1.4
• Testing a generalized cubic Galileon gravity model with the Coma Cluster
• Kinematics of cluster galaxies and their relation to galaxy evolution
• Constraining cluster masses from the stacked phase space distribution at large radii
• BASILISK: Bayesian Hierarchical Inference of the Galaxy-Halo Connection using Satellite Kinematics--I. Method and Validation
• A semi-analytic model of pairwise velocity distribution between dark matter halos
• New constraints on red-spiral galaxies from their kinematics in clusters of galaxies
• Deriving galaxy cluster velocity anisotropy profiles from a joint analysis of dynamical and weak lensing data

Cited by in corpus (3)

• Probing Vainsthein-screening gravity with galaxy clusters using internal kinematics and strong and weak lensing
• The Jiao Tong University Spectroscopic Telescope Project
• Galaxy Velocity Bias in Cosmological Simulations: Towards Percent-level Calibration