Galaxy Clusters
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Dark Energy: Galaxy Clusters Adam Mantz (KIPAC/Stanford) SLAC Summer Institute August 22, 2017 Zwicky measured the velocities of galaxies in the Coma cluster, and concluded that its mass was much greater than the galaxies themselves could account for. Chapter I: background Clusters have provided key insights since the early days of cosmology 1915 General Relativity The Universe could be dynamic! 1929 Hubble Law The Universe is dynamic! 1933 Dark matter Clusters contain dark matter?! Chapter I: background Clusters have provided key insights since the early days of cosmology 1915 General Relativity The Universe could be dynamic! 1929 Hubble Law The Universe is dynamic! 1933 Dark matter Clusters contain dark matter?! Zwicky measured the velocities of galaxies in the Coma cluster, and concluded that its mass was much greater than the galaxies themselves could account for. I A very massive, bound collection of dark matter, gas, and galaxies I The real-universe analog of the most massive \halos" to form > 14 > M ∼ 10 M , kT ∼ 1 keV Galaxy clusters: an introduction Galaxy cluster (n): I A bunch of galaxies physically near to one another I The real-universe analog of the most massive \halos" to form > 14 > M ∼ 10 M , kT ∼ 1 keV Galaxy clusters: a delicious introduction Galaxy cluster (n): I A bunch of galaxies physically near to one another I A very massive, bound collection of dark matter, gas, and galaxies > 14 > M ∼ 10 M , kT ∼ 1 keV Galaxy clusters: a delicious introduction Galaxy cluster (n): I A bunch of galaxies physically near to one another I A very massive, bound collection of dark matter, gas, and galaxies I The real-universe analog of the most massive \halos" to form Galaxy clusters: a delicious introduction Galaxy cluster (n): I A bunch of galaxies physically near to one another I A very massive, bound collection of dark matter, gas, and galaxies I The real-universe analog of the most massive \halos" to form > 14 > M ∼ 10 M , kT ∼ 1 keV Galaxy clusters at X-ray wavelengths I (Mostly) thermal emission from the dominant baryonic component (intra-cluster medium). I Primary observables (density, temperature) carry information about the ICM thermodynamic state and the overall gravitational potential. Galaxy clusters at mm wavelengths I Sunyaev-Zel'dovich (SZ) effect: distortion of the CMB blackbody spectrum due to the ICM. I Primary observable (∆T ) is related to the ICM pressure. I Signal is less radius- and redshift-dependent that X-rays. Galaxy clusters at optical/IR wavelengths I Cluster galaxies: approximately collisionless test particles orbiting in the gravitational potential. I Background galaxies: gravitationally lensed by the cluster. Clusters mass estimation It's useful to distinguish between absolute (average) and relative mass estimation: I Absolute masses are best probed by weak lensing, which is not sensitive to gas astrophysics. However, individual cluster masses from lensing are inherently noisy. I Relative masses can be obtained from various other observables that have a smaller per-cluster scatter with true mass, but may have an overall bias. Galaxy cluster surveys Surveys using each observational window probe complementary parts of the population I X-ray and SZ: high purity for the most massive clusters I Optical/IR: high completeness ROSAT All-Sky Survey (RASS) { X-ray down to lower mass, but more complex selection 25 30 0.30 35 ] 0.25 2 n 40 i m c r DEC 0.20 45 a [ g n 50 0.15 0.10 120 100 320 300 RA South Pole Telescope (SPT)-SZ { 3mm Dark Energy Survey red galaxy density Galaxy cluster surveys Surveys using each observational ● ● ● window probe complementary parts ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ●● ● of the population ● ●● ●● ●● ● ● ● ) ● ● ● ● ●●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●●●●●●●●● ● ● ● ● ● ● ● ● ● ●●● ●● ● ●● ● ●●● ●● ● ● 10 ●●●●●●● ● ● ● ●● ● ●●●● ● ● ● ● ● ● ● ● ● ●● ●● ●●● ● ● ●● M ● ●●● ●●● ●● ● ●●●●● ● ●● ●● ● ● ●● ●●● ● ●●●● ●●●● ● ●●● ● ●●●● ●●●●●●● ●● ● ●● ●●●● ●●●●● ●●● X-ray and SZ: high purity for ● ● ● ● I ● ● ● ● ●● ● 14 ● ●●●●● ●●●● ● ●● ●●● ●●● ●●●● ●●● ●●●● ● ●●●● ●●●●●●●●●● ●●●● ●● ●●●● ●●●● ●●● ●● 5 ●●●●● ● ● ●● ●●●● 10 ● ● ● ● ●●●●●●●●●●●● ● ● ●●● ( ● ●●● ●●●●●●●●●●●● ●● the most massive clusters ●●● ● ●● ●●●●●●●●●●● ●●● ●●●●●●● ●●●●●●●●●● ●●●●●● ●●●●●●●●● 500 ● ● ●● ●●●●●●●●●●● ●●●●●● ●●●●●●● ●●●●●●● M ● ●●●● ● ●●●●●●●● 2 ●●●●●●● Optical/IR: high completeness ●●● I ●●●●●●● ●●●● ●●●●●● ● ● ●●●●●●●● ●●●●● RASS ●●●● ●● ●● ●●●●● SPT−SZ down to lower mass, but more ●●●●● 1 ●●● ● ●●● ●●●●● DES ●●● ●●●● ●●● ●●● complex selection ●● ●●●● ● ●●●● ●●● 0.5 ● ●●● ●● ●●● ●● ● 0.0● 0.5 1.0 1.5 2.0 3.0 ●● ●● ● redshift But we can do better that this: for massive clusters, excluding their cores, we can reliably predict the depletion of hot gas M =M Υ = gas tot : Ωb=Ωm For massive and dynamically relaxed clusters, we can reliably measure Mgas fgas = : Mtot Chapter II: Cosmology from cluster composition To zeroth order, the ratio of baryon to total mass in clusters should be identical to Ωb=Ωm. For massive and dynamically relaxed clusters, we can reliably measure Mgas fgas = : Mtot Chapter II: Cosmology from cluster composition To zeroth order, the ratio of baryon to total mass in clusters should be identical to Ωb=Ωm. But we can do better that this: for massive clusters, excluding their cores, we can reliably predict the depletion of hot gas M =M Υ = gas tot : Ωb=Ωm Chapter II: Cosmology from cluster composition To zeroth order, the ratio of baryon to total mass in clusters should be identical to Ωb=Ωm. But we can do better that this: for massive clusters, excluding their cores, we can reliably predict the depletion of hot gas M =M Υ = gas tot : Ωb=Ωm For massive and dynamically relaxed clusters, we can reliably measure Mgas fgas = : Mtot Cluster composition as a cosmic standard These properties make fgas a useful standard, an intrinsic property 0.90 Battaglia et al. 2013 14 15 3.1 × 10 M < M200 < 1 × 10 M 1. that can be predicted 2. that has a small scatter ) 0.80 500 r ● < ● ● ● 3. whose measurement depends on ( ● s a g ϒ distance 0.70 Observations of fgas depend on both 0.60 dL(z) and dA(z) { a combined 0.0 0.2 0.4 0.6 0.8 1.0 redshift candle and ruler. ! 5% precision in d(z) to a cluster Ingredients for cosmology from cluster composition 1. A sample of massive, relaxed clusters (surveys + X-ray follow-up) 2. Measurements of fgas (X-ray) 3. Calibration of total mass measurements (weak lensing) Ingredients for cosmology from cluster composition 1. A sample of massive, relaxed clusters (surveys + X-ray follow-up) 2. Measurements of fgas (X-ray) 3. Calibration of total mass measurements (weak lensing) A1835 A2163 ● ● ● ● ● ● ● ● 1 ● A1835 ● ● ● ● ● ●● ● ● ● ) ● ● ●● S 1 A2163 ● ●● f ● − ● ● ● ● ( ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●●●●● ● ● ●●●●● ● ● ● ●●●●●● ● 10 ● ●●● ● ●●●●●● ● s ● ●●●● ●● ●●●●●● ●● ●●●●●● ●●● s ●●● ●● ●● ●●●●● ●●●● ●●● ● ●●● e ●● ●●● ●●● ●● ●●●● ●●● ●●●●● ●●● n ●●● ●●● ● ●●● t ● ●●● 2 ●● ●●● ●●● ● ●● ●● ●●●●● − ●●●● ●●●● h ●●● ●● ●●●●●●● ●●● ●●● ●●● ●●●●●● ● ● ●● ● g ●● ●● ●● ● ● ● ● i ●● ●●●● ● ●●●● 10 ●● ● r ● ●●● ●● ●● ●●● ●●● ●●●●● ●● ●●●● b ● ● ●● ● ●●●●● ●●● ●●●● ● ● ●● ●●●● ●●● ●●● ● ●●● e ● ●●● ●●● ●●●● ● ●● c ●● ● ● 3 ● ●● ● ● a − ● ● f ● ● r ● ● 10 u ● ● s ● ● ● 4 ● − 10 1 3 10 30 100 300 radius (arcsec) Ingredients for cosmology from cluster composition Abell 20291. A sampleAbell 478 ofRX J1524.2−3154 massive,PKS relaxed 0745−191 clustersAbell 2204 (surveysRX J0439.0+0520 + X-rayZwicky 2701 RX J1504.1−0248 follow-up) 2. Measurements of fgas (X-ray) Zwicky 2089 RX J2129.6+0005 RX J1459.4−1811 Abell 1835 Abell 3444 MS 2137.3−2353 MACS J0242.5−2132 MACS J1427.6−2521 3. Calibration of total mass measurements (weak lensing) MACS J2229.7−2755 MACS J0947.2+7623 MACS J1931.8−2634 MACS J1115.8+0129 MACS J1532.8+3021 MACS J0150.3−1005 MACS J0011.7−1523 MACS J1720.2+3536 MACS J0429.6−0253 MACS J0159.8−0849 MACS J2046.0−3430 IRAS 09104+4109 MACS J1359.1−1929 RX J1347.5−1145 3C 295 MACS J1621.3+3810 MACS J1427.2+4407 MACS J1423.8+2404 SPT−CL J2331−5051 SPT−CL J2344−4242 SPT−CL J0000−5748 SPT−CL J2043−5035 CL J1415+3612 3C 186 Ingredients for cosmology from cluster composition 1. A sample of massive, relaxed clusters (surveys + X-ray follow-up) 2. Measurements of fgas (X-ray) 3. Calibration of total mass measurements (weak lensing) 0.5 0.5 0.2 0.2 ) ) ∆ ∆ r r ( ( s s a a g g f f 0.1 0.1 0.05 0.05 500 500 2500 2500 105 104 103 102 105 104 103 102 ∆ ∆ Ingredients for cosmology from cluster composition 1. A sample of massive, relaxed clusters (surveys + X-ray follow-up) 2. Measurements of fgas (X-ray) 3. Calibration of total mass measurements (weak lensing) Constraints from cluster fgas With priors on ΛCDM 2 OCDM 1. Ωbh (important) 0.18 w = − 3 ● ) 2. h (less important), ● ● 1.2 ● < ● ● ● ● ● ● ● the low-z data constrain Ωm: ● 0.14 ● ● ● ● 2500 ● ● r ● ● ● ● ● ● r ● ● ● ●● ● < Ω ● b ● 3=2 ● ● < ● fgas(z ∼ 0:15) / h 0.8 ● ● ● ( Ω 0.10 ● m s a g f 0.06 Apparent evolution constrains dark energy: 0.0 0.2 0.4 0.6 0.8 1.0 redshift −3=2 fgas(z) / d(z) Constraints from cluster fgas non-flat ΛCDM flat, constant-w 1.5 0.0 ●● fgas 1.0 ●● CMB −1.0 ●● SNIa ● Λ ● BAO w Ω ●● Combined 0.5 ●● fgas ●● CMB −2.0 ●● SNIa ●● BAO 0.0 ●● Combined −3.0 0.0 0.2 0.4 0.6 0.8 0.0 0.2 0.4 0.6 0.8 Ω m Ωm • Cluster fgas • Union 2.1 SNIa • WMAP CMB • 6df/SDSS/BOSS BAO Chapter III: Cosmology from cluster counts The number of clusters as a function of mass and redshift (columns) is a sensitive probe of cosmological models (rows). (Millenium Simulation/Virgo Consortium) Chapter III: Cosmology