Dark Matter Masses of Galaxies Gravity and Light Black Holes What is Dark Matter?
The dark matter problem: Spiral galaxies · Dark matter is everywhere Galaxies Galaxy clusters,...
Transcript of The dark matter problem: Spiral galaxies · Dark matter is everywhere Galaxies Galaxy clusters,...
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The dark matter problem:
Spiral galaxiesSpiral galaxies
Françoise Combes
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Dark matter is everywhereyGalaxies Galaxy clusters,
Cosmic filaments
Atoms (baryons) correspond to afraction fb= 5/(25+5) = 17% ofthe matter in the Universe (M/M 6)
Direct searchProd ction in accelerators
the matter in the Universe (M/Mb=6)
DarkProduction in accelerators5%
70%Darkmatter
energy
25%
Planck satellite, 2013 LHC2
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First evidences of dark matter
1937 – Fritz Zwicky computes the mass of the Coma cluster y pUsing the Virial theorem. Measured velocities V~1000km/sM~ 5 1014 M M/L = 500 M /LM/L = 500 M/L
He cannot see all baryons + pb of distancedark matter in galaxies-- dark matter in galaxies
-- dust in between galaxies + obscuration-- modification of Newton’s law at large scalemodification of Newton s law at large scale
Sinclair Smith 1938: same M/L in Virgo cluster
1932: Jan Oort finds missing massin the solar neighborhood in Milky WaySolids, dust, gas, dead stars… 3
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First rotation curve in M31
Radius 0’ 0 5’ 15’ 50’ 80’Radius 0 0.5 15 50 80 Radius (kpc) 0.11 3.3 11 17Luminosity L/pc3 1.25 0.083 0.021 0.014y pMass M/pc3 2.1 1.5 0.9 0.9M/L 1.6 18 43 62 Babcock 1939
V(km/s)400
300Abs lines instars, H, KHHNebulae[OII], [OIII][OII], [OIII]
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M31=Andromeda, confirmationMore knowledge of the distribution of mass (near infrared), And gas at large distance
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Same result for several galaxiesOptical rotation curves:Stars and ionised gas (H and [NII] m)Stars and ionised gas (H and [NII] m)
M31 obsRadio: 21cm line of hydrogendiscovered in 1951 (E & P ll) M31 obsdiscovered in 1951 (Ewen & Purcell)
HI is 3-4 times more extendedM31, theoryIn radius
Fl tMilky WaytheoryM33 obs
Flat curves
In the center, observed curve higherFinzi, 1963
In the center, observed curve higherthan theoretical one (bulge)M/L increases with radius
Arrigo Finzi (1963): gravity law different at large distance 6
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Optical rotationcurves
23 Sb up to R23 Sb, up to R2525 mag per ’’ 2
M/L varies according to typesand stellar populations
M/L(*) = 2, 4, 6Sc Sb Sa respSc Sb Sa resp.
Rubin et al 1978 7
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Atomic hydrogen in galaxiesNGC2915
R(gas) ~ 2-4 R(optical)M101
R(gas) ~ 2-4 R(optical)
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How to build a rotation curve?How to build a rotation curve?
• Doppler Effect • Folding of the two sides
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Velocity filedVelocity filedThe spider diagramm
NGC 2915M/L~ 80
Total spectrumFlux HI
Meurer et al 1996, Bureau et al 199910
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V/Vmax
R/aR/a
Vobs= Vsys+Vrot sin i cos + Vr sin i sin 11
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Galaxies of all typesEllipticals
Spirals
Dwarfs
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The Hubble tuning forkThe Hubble tuning fork
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The Tuning Fork(Le Diapason) The Teaspoon
(L C illè fé) (Kormendy)
Other classifications( p )
(La Cuillère a café) (Kormendy)
The Cleaver(L C ) The Rat’s Nest
(Hubble-Sandage)
(Le Couperet) The Rat s Nest(Le Noeud de Vipères)
(Grebel)
ATLAS3D
(Grebel)14
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Obtaining velocitiesFuture ALMA
Optical: H, NII, ionised gas emission linesRadio: HI-21cm, CO: 2.6, 1.3 mm
Future ALMASKA, …
Tracer angular spectral résolution resolution
HI 7" … 30" 2 … 10 km s-1
CO 1 5" 8" 2 10 km s-1CO 1.5 … 8 2 … 10 km s
H, … 0.5" … 1.5" 10 … 30 km s-1
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VLTE-ELT
KECKKECK
GTC 16
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ALMA, Atacama desert
Millimeter wavesMolecular gas
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Rotation curves: catalog M83: optical
HI: cartography of atomic hydrogenWavelength 21cm (Sofue & Rubin 2001)Wavelength 21cm (Sofue & Rubin 2001)
HI
M83: a galaxy similar to the Milky Way 18
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Milky Way: difficult deprojection
The galaxy is seen edge-ong y g
Distances are notwell knownDepend on velocitiesAmbiguities
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Ambiguities
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Milky Way: gas HI, H2
HI-21cmDoubtful deprojectionVelocity bias
Velocity
Longitude
CO tracer of H2Non-circular velocities in
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the centre bar
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Universal curveUniversal curve• How to normalise the thousand of curves?• Correlation with total luminosity
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Interpretation of the various curvesInterpretation of the various curves
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NGC2403HSB
At the same scaleAt the same scale
GC 128UGC 128LSBLow surfaceLow surfacebrightness
T l i f th l i itTwo galaxies of the same luminosity, And same flat velocity Vf 24
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Normalisation to Rd exponential diskSeveral ways to do-- maximum disk-- same dark halo-- normalisation to the optical disk
McGaugh 2014
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Maximum disk74 spiral galaxies : good agreement with themodel bulge+ disk M/L = 1 5model bulge+ disk M/L = 1-5 Dark matter follows the stars?Palunas & Williams 2000
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Coupling DM-baryons: dwarf galaxiesThe wiggles of rotation curves follow the baryons: once re-scaled(with M/L cst), the observed rotation curve is obtained
S t t l 2012Swaters et al 201227
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Coupling DM-baryons: massive galaxiesCoupling DM-baryons: massive galaxies
Th t i l d t th b d i i ti f HISwaters et al 2012
The agreement is less good at the border: ionisation of HI gas28
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The universal rotation curveOptical Radio
The total mass of dark haloi ll kis not well knownMass increases like RWhere does it stop?Where does it stop?
Universality is obtainedyif baryons determinethe total massdi t ib tidistribution
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Rotation and galaxy types
DDO154, dwarf End of the conspiration
V (km/s) N2403
dwarfs IntermediateAndromeda dwarfs IntermediateAndromeda
N2683
Giants Compact giants
30Casertano & van Gorkom 1991
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Generalisation to a 3D spaceGe e a sat o to a 3 space
The luminosityThe luminositydetermines the rotationcurve
V(R/Rd, L)
Baryons are the key
Salucci et al 2007 31
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Modelisation of rotation curves• Contribution of stars, exponential disk (near infrared)• Contribution of gas, HI (in 1/R), CO (exponential)• Contribution of dark matter
Profil predicted by numerical simulations Navarro, Frenk & White (1997), NFW
Isothermal~r-3
Burkert
r
V2 (obs) = V2(stars) + V2 (gas) + V2 (halo) 32
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Results from models
The rotation curves are determined byLuminosity
Luminosityn d
e D
M
Luminosity
Small galaxies have more Luminosityfr
act
iong
dark matter in proportion, witha higher density
• Persic et al 96, Salucci et al 2007 33
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Surface density at the centre 0 r0 is a y 0 0constant for the halo of spirals
Kormendy & Freeman (2004) 0 r0 =100 M/pc234
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Radial distribution of the various components
The molecular gas H2 does notdiradiate
The next most abundant moleculeCO serves as a tracerCO serves as a tracer
Its radial distribution isexponential, similar to stars
Th iThe atomic gas presentsA central depressionFlatter distribution as 1/RFlatter distribution, as 1/R
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Distribution of gas: HI, H2H2 exponential, comparable to stars
Wong & Blitz (2002) 36
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HI-21cm rotation curvesHI 21cm rotation curves
Bosma 198137
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Ratio of surface densitiesBosma 1981Bosma 1981
Log(DM/HI)
Radius(kpc)Radius(kpc)
Log( / )Log(DM/HI)
38Radius(kpc)
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Hoekstra et al (2001) Ratio of surface densities/DM/HI
In average ~10
The DM and the atomic HI have the same distribution39
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Tully-Fisher relation
Relation between maximumvelocity and luminosityDV corrected from inclination
i i f d b dBetter in infrared I-band(no extinction)
Correlation with VflatBetter than Vmax
Verheijen 2001
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The Tully-Fisher relationfor dwarf galaxies
hi h hwhich have more gasthan stars in masstake into account thetake into account thegas mass
Relation Mbaryonsith V R t tiwith V Rotation
Mb ~ V 4Mb Vc
41McGaugh et al (2000) Baryonic Tully-Fisher relation
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Baryonic Tully-Fisher
fb universal fraction of baryons= 17%y
CDM: Cold Dark Matter
dark energy
V4
42McGaugh 2011
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Tully-Fisher relationy
Th di i f h d dThe prediction of the standardCDM model has a slope 3Mb ~ V 3Mb Vc
Moreover, there are too manybaryons in galaxies
In particular for small massesby a factor 10-100by a factor 10 100
Famaey & McGaugh 2012 43
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Deformations of the velocity fieldDeformations of the velocity field
• The non-circular velocities prevent to derive the mass distribution
• Internal perturbations: bars• External perturbations: warp of the plane, interactions,
accretion, change of the inclination• Thickening of the planes: generalisation of galaxies seen
edge-on
Problem for the cusps/coresProblem for the total mass
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Non-circular orbits: bars
The departures from circularity become coherentThe departures from circularity become coherentthanks to a spiral or barred wave
Stars GasSpiral galaxies areunstable and formunstable and formbars
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Correction of elongated orbits
N6503, Kuzio de Naray et al 2012
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Rotation curves of barred galaxies
gSa (halo ISO)gSa (halo ISO)Bar: perpendicular
Bar: intermediate
Rotcur: black dotsDiskfit: red
Bar: parallel tomajor axis
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gSbg
RotcurModelisationof circularorbitsPA, inclvariable
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Why not corrected by DiskFit ?
The software modelsa bar, when it is clearlyvisible in thevisible in the velocities
But cannot see a barwhen it is parallelto the symmetry axes
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Computations on a specific case: NGC 3319Wise 3.4m HI-21cm
Velocity HI Dispersion HI 50
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Different models of NGC 3319 e e t ode s o GC 33 9
M/L fixed
Raw velocities Velocities corrected from the bar
Not-corrected
stars
halo
Corrected
gas
halo
h l
M/L variable
The pert rbations d e tostars
halo The perturbations due to the bar are significant
gas Randriamampandry et al 201451
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Warped planesa ped p a es
observation
d l f il d iModel of tilted ringsPA, incl variableRogstad et al 1974 modelRogstad et al 1974 model
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Tilted orbits, NGC 3718
non circular motionsMore difficult estimation, when deformationis importantTh bi hi hl lli i l d hThe orbits are highly elliptical, and thatdepends on the 3D shape of dark halo
NGC 4013NGC 660 NGC 4013Bottema 1996
NGC 660
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Polar ring galaxies
T t f th 3D h f h lTest of the 3D shape of halos Vpolar < Vequatorial ?
CDM model: predicts Vpol < VeqOr Vpol=Veq, if accretion
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Conclusion: Dark matter and spiralspThe best tracer for outer parts is the atomic gasHI 21 lHI-21cm total mass
Inner parts: the ionised gas (H NII) more spatial resolutionInner parts: the ionised gas (H, NII) more spatial resolutionMolecular gas, tracer CO cusp-core
Interpretation: bulge, disk, dark halo-- rotation curves depend essentially on baryons
i l V( / d L) i di k-- universal curve V(r/rd, L), maximum disk-- Tully-Fisher relation-- coupling DM-baryons DM/HI = 10coupling DM baryons, DM/HI 10
-- Deformations: bars for the inner parts,
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Warps for outer parts