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Title: Cosmology and astrophysics from relaxed galaxy clusters – V. Consistency with cold dark matter structure formation

Abstract

This is the fifth in a series of papers studying the astrophysics and cosmology of massive, dynamically relaxed galaxy clusters. Our sample comprises 40 clusters identified as being dynamically relaxed and hot in Papers I and II of this series. Here we use constraints on cluster mass profiles from X-ray data to test some of the basic predictions of cosmological structure formation in the cold dark matter (CDM) paradigm. We present constraints on the concentration–mass relation for massive clusters, finding a power-law mass dependence with a slope of κm = -0.16 ± 0.07, in agreement with CDM predictions. For this relaxed sample, the relation is consistent with a constant as a function of redshift (power-law slope with 1 + z of κζ = -0.17 ± 0.26), with an intrinsic scatter of σln c = 0.16 ± 0.03. We investigate the shape of cluster mass profiles over the radial range probed by the data (typically ~50 kpc–1 Mpc), and test for departures from the simple Navarro–Frenk–White (NFW) form, for which the logarithmic slope of the density profile tends to -1 at small radii. Specifically, we consider as alternatives the generalized NFW (GNFW) and Einasto parametrizations. For the GNFW model, we findmore » an average value of (minus) the logarithmic inner slope of β = 1.02 ± 0.08, with an intrinsic scatter of σβ = 0.22 ± 0.07, while in the Einasto case we constrain the average shape parameter to be α = 0.29 ± 0.04 with an intrinsic scatter of σα = 0.12 ± 0.04. Lastly, our results are thus consistent with the simple NFW model on average, but we clearly detect the presence of intrinsic, cluster-to-cluster scatter about the average.« less

Authors:
 [1];  [2];  [2]
  1. Stanford Univ., Stanford, CA (United States)
  2. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1331201
Alternate Identifier(s):
OSTI ID: 1333528
Report Number(s):
SLAC-PUB-16859
Journal ID: ISSN 0035-8711
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 462; Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; galaxies: clusters: general; dark matter; X-rays: galaxies: clusters; astrophysics; HEPEX

Citation Formats

Mantz, A. B., Allen, S. W., and Morris, R. G. Cosmology and astrophysics from relaxed galaxy clusters – V. Consistency with cold dark matter structure formation. United States: N. p., 2016. Web. doi:10.1093/mnras/stw1707.
Mantz, A. B., Allen, S. W., & Morris, R. G. Cosmology and astrophysics from relaxed galaxy clusters – V. Consistency with cold dark matter structure formation. United States. https://doi.org/10.1093/mnras/stw1707
Mantz, A. B., Allen, S. W., and Morris, R. G. Fri . "Cosmology and astrophysics from relaxed galaxy clusters – V. Consistency with cold dark matter structure formation". United States. https://doi.org/10.1093/mnras/stw1707. https://www.osti.gov/servlets/purl/1331201.
@article{osti_1331201,
title = {Cosmology and astrophysics from relaxed galaxy clusters – V. Consistency with cold dark matter structure formation},
author = {Mantz, A. B. and Allen, S. W. and Morris, R. G.},
abstractNote = {This is the fifth in a series of papers studying the astrophysics and cosmology of massive, dynamically relaxed galaxy clusters. Our sample comprises 40 clusters identified as being dynamically relaxed and hot in Papers I and II of this series. Here we use constraints on cluster mass profiles from X-ray data to test some of the basic predictions of cosmological structure formation in the cold dark matter (CDM) paradigm. We present constraints on the concentration–mass relation for massive clusters, finding a power-law mass dependence with a slope of κm = -0.16 ± 0.07, in agreement with CDM predictions. For this relaxed sample, the relation is consistent with a constant as a function of redshift (power-law slope with 1 + z of κζ = -0.17 ± 0.26), with an intrinsic scatter of σln c = 0.16 ± 0.03. We investigate the shape of cluster mass profiles over the radial range probed by the data (typically ~50 kpc–1 Mpc), and test for departures from the simple Navarro–Frenk–White (NFW) form, for which the logarithmic slope of the density profile tends to -1 at small radii. Specifically, we consider as alternatives the generalized NFW (GNFW) and Einasto parametrizations. For the GNFW model, we find an average value of (minus) the logarithmic inner slope of β = 1.02 ± 0.08, with an intrinsic scatter of σβ = 0.22 ± 0.07, while in the Einasto case we constrain the average shape parameter to be α = 0.29 ± 0.04 with an intrinsic scatter of σα = 0.12 ± 0.04. Lastly, our results are thus consistent with the simple NFW model on average, but we clearly detect the presence of intrinsic, cluster-to-cluster scatter about the average.},
doi = {10.1093/mnras/stw1707},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 462,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2016},
month = {Fri Jul 15 00:00:00 EDT 2016}
}

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Works referenced in this record:

Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
journal, September 2004


Improved constraints on dark energy from Chandra X-ray observations of the largest relaxed galaxy clusters: Improved constraints on dark energy
journal, December 2007


Cosmological Parameters from Observations of Galaxy Clusters
journal, September 2011


The relation between mass and concentration in X-ray galaxy clusters at high redshift
journal, May 2016


Cosmology and astrophysics from relaxed galaxy clusters – IV. Robustly calibrating hydrostatic masses with weak lensing
journal, February 2016

  • Applegate, D. E.; Mantz, A.; Allen, S. W.
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
  • DOI: 10.1093/mnras/stw005

The Most Massive Distant Clusters: Determining Ω and σ 8
journal, September 1998

  • Bahcall, Neta A.; Fan, Xiaohui
  • The Astrophysical Journal, Vol. 504, Issue 1
  • DOI: 10.1086/306088

COSMOLOGICAL CONSTRAINTS FROM SUNYAEV-ZEL'DOVICH-SELECTED CLUSTERS WITH X-RAY OBSERVATIONS IN THE FIRST 178 deg 2 OF THE SOUTH POLE TELESCOPE SURVEY
journal, January 2013


Cosmological Simulations of Galaxy Clusters
journal, February 2011

  • Borgani, Stefano; Kravtsov, Andrey
  • Advanced Science Letters, Vol. 4, Issue 2
  • DOI: 10.1166/asl.2011.1209

Profiles of dark haloes: evolution, scatter and environment
journal, March 2001


Convergence and scatter of cluster density profiles
journal, September 2004


Cusps in cold dark matter haloes
journal, December 2005


MASS–CONCENTRATION RELATION OF CLUSTERS OF GALAXIES FROM CFHTLenS
journal, November 2015


Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
journal, October 2008

  • Duffy, Alan R.; Schaye, Joop; Kay, Scott T.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 390, Issue 1
  • DOI: 10.1111/j.1745-3933.2008.00537.x

Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
journal, May 2014

  • Dutton, Aaron A.; Macciò, Andrea V.
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 4
  • DOI: 10.1093/mnras/stu742

The andromeda galaxy M 31: I. A preliminary model
journal, January 1970


The Evolution of X‐Ray Clusters in a Low‐Density Universe
journal, August 1998

  • Eke, Vincent R.; Navarro, Julio F.; Frenk, Carlos S.
  • The Astrophysical Journal, Vol. 503, Issue 2
  • DOI: 10.1086/306008

Constraining the cosmological parameters with the gas mass fraction in local and $\mathsf{{\vec z}>0.7}$ galaxy clusters
journal, January 2003


The cluster gas mass fraction as a cosmological probe: a revised study
journal, May 2009


Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
journal, July 2002

  • Evrard, A. E.; MacFarland, T. J.; Couchman, H. M. P.
  • The Astrophysical Journal, Vol. 573, Issue 1
  • DOI: 10.1086/340551

The redshift dependence of the structure of massive Λ cold dark matter haloes
journal, June 2008


The Atacama Cosmology Telescope: Sunyaev-Zel'dovich selected galaxy clusters at 148 GHz from three seasons of data
journal, July 2013

  • Hasselfield, Matthew; Hilton, Matt; Marriage, Tobias A.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 07
  • DOI: 10.1088/1475-7516/2013/07/008

A Detailed Statistical Analysis of the mass Profiles of Galaxy Clusters
journal, July 2011


The mass function of dark matter haloes
journal, February 2001


Cosmological simulations of the intracluster medium
journal, December 2004


Dark Matter Halos in the Standard Cosmological Model: Results from the Bolshoi Simulation
journal, October 2011

  • Klypin, Anatoly A.; Trujillo-Gomez, Sebastian; Primack, Joel
  • The Astrophysical Journal, Vol. 740, Issue 2
  • DOI: 10.1088/0004-637X/740/2/102

MultiDark simulations: the story of dark matter halo concentrations and density profiles
journal, February 2016

  • Klypin, Anatoly; Yepes, Gustavo; Gottlöber, Stefan
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 4
  • DOI: 10.1093/mnras/stw248

The dynamical state and mass–concentration relation of galaxy clusters: The concentrations of massive galaxy clusters
journal, November 2012


The mass–concentration–redshift relation of cold dark matter haloes
journal, April 2014

  • Ludlow, Aaron D.; Navarro, Julio F.; Angulo, Raúl E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 1
  • DOI: 10.1093/mnras/stu483

A halo mass—concentration relation from weak lensing
journal, August 2008

  • Mandelbaum, Rachel; Seljak, Uroš; Hirata, Christopher M.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08
  • DOI: 10.1088/1475-7516/2008/08/006

The observed growth of massive galaxy clusters - I. Statistical methods and cosmological constraints: Cluster growth: methods and cosmology
journal, July 2010


Cosmology and astrophysics from relaxed galaxy clusters – II. Cosmological constraints
journal, April 2014

  • Mantz, A. B.; Allen, S. W.; Morris, R. G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 3
  • DOI: 10.1093/mnras/stu368

Weighing the giants – IV. Cosmology and neutrino mass
journal, November 2014

  • Mantz, Adam B.; von der Linden, Anja; Allen, Steven W.
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 3
  • DOI: 10.1093/mnras/stu2096

Cosmology and astrophysics from relaxed galaxy clusters – I. Sample selection
journal, March 2015

  • Mantz, Adam B.; Allen, Steven W.; Morris, R. Glenn
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 1
  • DOI: 10.1093/mnras/stv219

Cosmology and astrophysics from relaxed galaxy clusters – III. Thermodynamic profiles and scaling relations
journal, January 2016

  • Mantz, A. B.; Allen, S. W.; Morris, R. G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 456, Issue 4
  • DOI: 10.1093/mnras/stv2899

Clash: the Concentration-Mass Relation of Galaxy Clusters
journal, June 2015


Testing X‐Ray Measurements of Galaxy Clusters with Cosmological Simulations
journal, January 2007

  • Nagai, Daisuke; Vikhlinin, Alexey; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 655, Issue 1
  • DOI: 10.1086/509868

A Universal Density Profile from Hierarchical Clustering
journal, December 1997

  • Navarro, Julio F.; Frenk, Carlos S.; White, Simon D. M.
  • The Astrophysical Journal, Vol. 490, Issue 2
  • DOI: 10.1086/304888

The inner structure of ΛCDM haloes - III. Universality and asymptotic slopes
journal, April 2004


The diversity and similarity of simulated cold dark matter haloes: Diversity and similarity of simulated CDM haloes
journal, December 2009


The statistics of   CDM halo concentrations
journal, November 2007


The Density Profiles of Massive, Relaxed Galaxy Clusters. i. the Total Density over Three Decades in Radius
journal, February 2013

  • Newman, Andrew B.; Treu, Tommaso; Ellis, Richard S.
  • The Astrophysical Journal, Vol. 765, Issue 1
  • DOI: 10.1088/0004-637X/765/1/24

Model-Independent X-Ray mass Determinations
journal, September 2010


LoCuSS: THE MASS DENSITY PROFILE OF MASSIVE GALAXY CLUSTERS AT z = 0.2 ,
journal, May 2013


Planck 2013 results. XX. Cosmology from Sunyaev–Zeldovich cluster counts
journal, October 2014


Halo concentrations in the standard Λ cold dark matter cosmology: ΛCDM halo concentrations
journal, June 2012

  • Prada, Francisco; Klypin, Anatoly A.; Cuesta, Antonio J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 423, Issue 4
  • DOI: 10.1111/j.1365-2966.2012.21007.x

The Mass Function of an X‐Ray Flux–limited Sample of Galaxy Clusters
journal, March 2002

  • Reiprich, Thomas H.; Bohringer, Hans
  • The Astrophysical Journal, Vol. 567, Issue 2
  • DOI: 10.1086/338753

COSMOLOGICAL CONSTRAINTS FROM THE SLOAN DIGITAL SKY SURVEY MaxBCG CLUSTER CATALOG
journal, December 2009


The dark matter haloes of massive, relaxed galaxy clusters observed with Chandra
journal, July 2007


The Atacama Cosmology Telescope: Cosmology from Galaxy Clusters Detected via the Sunyaev-Zel'Dovich Effect
journal, April 2011


Density Profiles of ΛCDM Clusters
journal, May 2004

  • Tasitsiomi, Argyro; Kravtsov, Andrey V.; Gottlober, Stefan
  • The Astrophysical Journal, Vol. 607, Issue 1
  • DOI: 10.1086/383219

Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality
journal, December 2008

  • Tinker, Jeremy; Kravtsov, Andrey V.; Klypin, Anatoly
  • The Astrophysical Journal, Vol. 688, Issue 2
  • DOI: 10.1086/591439

Clash: Joint Analysis of Strong-Lensing, Weak-Lensing Shear, and Magnification data for 20 Galaxy Clusters
journal, April 2016


Weak-lensing-inferred scaling relations of galaxy clusters in the RCS2: mass-richness, mass-concentration, mass-bias, and more
journal, January 2016


Chandra Sample of Nearby Relaxed Galaxy Clusters: Mass, Gas Fraction, and Mass‐Temperature Relation
journal, April 2006

  • Vikhlinin, A.; Kravtsov, A.; Forman, W.
  • The Astrophysical Journal, Vol. 640, Issue 2
  • DOI: 10.1086/500288

CHANDRA CLUSTER COSMOLOGY PROJECT III: COSMOLOGICAL PARAMETER CONSTRAINTS
journal, February 2009


Galaxy cluster mass profiles
journal, May 2006


Concentrations of Dark Halos from Their Assembly Histories
journal, March 2002

  • Wechsler, Risa H.; Bullock, James S.; Primack, Joel R.
  • The Astrophysical Journal, Vol. 568, Issue 1
  • DOI: 10.1086/338765

The baryon content of galaxy clusters: a challenge to cosmological orthodoxy
journal, December 1993

  • White, Simon D. M.; Navarro, Julio F.; Evrard, August E.
  • Nature, Vol. 366, Issue 6454
  • DOI: 10.1038/366429a0

X-ray properties in massive galaxy clusters: XMM-Newton observations of the REFLEX-DXL sample
journal, August 2006


Mass and Redshift Dependence of Dark Halo Structure
journal, October 2003

  • Zhao, D. H.; Jing, Y. P.; Mo, H. J.
  • The Astrophysical Journal, Vol. 597, Issue 1
  • DOI: 10.1086/379734

Accurate Universal Models for the mass Accretion Histories and Concentrations of dark Matter Halos
journal, November 2009


Works referencing / citing this record:

The Galaxy Cluster Mass Scale and Its Impact on Cosmological Constraints from the Cluster Population
journal, February 2019


The concentration–mass relation of clusters of galaxies from the OmegaWINGS survey
journal, November 2017


Hydrostatic mass profiles in X-COP galaxy clusters
journal, January 2019


Extragalactic diffuse γ-rays from dark matter annihilation: revised prediction and full modelling uncertainties
journal, February 2018


The Three Hundred project: a large catalogue of theoretically modelled galaxy clusters for cosmological and astrophysical applications
journal, August 2018

  • Cui, Weiguang; Knebe, Alexander; Yepes, Gustavo
  • Monthly Notices of the Royal Astronomical Society, Vol. 480, Issue 3
  • DOI: 10.1093/mnras/sty2111

Spatial distribution of metals in the ICM: evolution of the iron excess in relaxed galaxy clusters
journal, August 2018

  • Liu, Ang; Tozzi, Paolo; Yu, Heng
  • Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
  • DOI: 10.1093/mnras/sty2294

Dependency of halo concentration on mass, redshift and fossilness in Magneticum hydrodynamic simulations
journal, April 2019

  • Ragagnin, Antonio; Dolag, Klaus; Moscardini, Lauro
  • Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 3
  • DOI: 10.1093/mnras/stz1103

Constraints on the Mass, Concentration, and Nonthermal Pressure Support of Six CLASH Clusters from a Joint Analysis of X-Ray, SZ, and Lensing Data
journal, July 2018

  • Siegel, Seth R.; Sayers, Jack; Mahdavi, Andisheh
  • The Astrophysical Journal, Vol. 861, Issue 1
  • DOI: 10.3847/1538-4357/aac5f8

Extragalactic diffuse γ-rays from dark matter annihilation: revised prediction and full modelling uncertainties
text, January 2018


The concentration-mass relation of clusters of galaxies from the OmegaWINGS survey
text, January 2017


Extragalactic diffuse γ-rays from dark matter annihilation: revised prediction and full modelling uncertainties
journal, February 2018