Observational cosmology - galaxyformationschool2014
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Transcript Observational cosmology - galaxyformationschool2014
Olivier Le Fèvre, Laboratoire d’Astrophysique de Marseille
DEEP SURVEYS:
GALAXY FORMATION AND
EVOLUTION
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INTRODUCTION
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What is “Observational Cosmology” ?
Observational Cosmology is the study of the
structure, the evolution and the origin of the
universe through observation using instruments
such as telescopes
Accurate facts, measurements and their errors
No place for speculation !
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What are “deep surveys” ?
Deep galaxy surveys are observations of a part
of the sky, assembling representative samples
of galaxies from well defined selection criteria
Two types of complementary surveys:
Deep photometric surveys
Deep spectroscopic redshift surveys
Surveys rely on large number statistics
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Surveys = polls
Ask the opinion of 1 person: always wrong
Ask 10 persons: strong biases
Ask 100 persons: some biases
Ask 1000 persons: average is probably close
to truth
…
Votes from the whole population make the
truth
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Ban the bad habits !!
Astrophysics has a bad habit: generalize from
a single observation
The goal is that you’ll leave these lectures
with a critical eye on observations presented
in the literature
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Plan of these lectures
1. Surveys: observables
2. Surveys: methods and observations
3. The Universe on large scales
4. The mass assembly and global star
formation history
5. The most distant galaxies
6. Future Surveys
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LECTURE #1
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Why measure the Universe ?
Science knows everything !
We know the cosmological model !
So why bother ??
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Cosmology is constantly evolving…
Dogons
Greeks
Copernicus
Modern: Big Bang
Tomorrow
?
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Cosmological model
Based on General Relativity
A theoretical description
Validated by some key observables
Expansion of the universe
Temperature of the microwave background
Cosmic abundance of elements
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“Accurate” cosmological
parameters show our ignorance !
Dark Matter:
26.8%
Ordinary Matter:
4.9%
Dark Energy: 68.3%
What is Dark Matter ?
What is Dark Energy ?
Need more observations !
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Models and Simulations
Standard CDM in a computer
Dark matter simulations
Add physical prescriptions on top of DM
Semi-analytical models
Hydro simulations
…
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MILLENIUM II simulation
Models need to
implement ever
increasing complexity
Cosmic Time
Simulations produce
FAKE universes !
Models are very useful
to understand main
physical processes
and interplay
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Different models
=
Different
appearance of the
universe at
different cosmic
times
Cosmic Time
Today
Different models
BigBang
NEED Observations !
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Tracing evolution
Comparing the properties of galaxies at
different epochs along cosmic time allows to
derive evolution
Caveat: we cannot follow the same galaxies,
hence we have to infer who is the progenitor
of whom
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What do we want to measure ?
Cosmological
parameters
Galaxy Evolution
scenario
Statistical
measurements
Indirect measurements
At different redshifts:
evolution
Direct measurements
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Deep galaxy surveys
Distribution in LSS
N(z)
Luminosity / SFR /
Mass evolution
Luminosity Function
Galaxy density field
Specifc populations
Oldest Galaxies
Luminosity Density
Strongly starforming gal.
Correlation function
SFR
QSO / AGN
Cosmological parameters
Mass function
Clusters / groups
Track evolution versus Environment, Luminosity, galaxy Type,…
Need Observations !
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The main tracer of the
universe: Galaxies
Galaxies are (biased) tracers of the dark
matter distribution
The bias can be modeled (?)
Observe galaxies and you’ll know (almost) all
about the universe
Formation and evolution of galaxies
Dark matter content in galaxies and clusters
Cosmology from their distribution
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Observables in deep surveys:
I. Direct measurements
a. Positions in space: 3D + time
b. Apparent magnitudes and flux
c. Sizes, morphology
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Direct survey measurements:
I.a. Positions in space
Measure the positions on the plane of the sky
Deep images
Measure the distances, using the redshift and
a cosmological model
Redshift measurement
Redshift space vs. Real space
See also the ‘cosmological distance ladder’
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Photometry from deep images
SExtractor
Does all what you need:
astrometry, magnitudes, basic
shapes
See: Bertin and Arnouts, 1996,
A&AS, 117, 393
and
‘SExtractor for dummies’
(Beware of the ‘black box’
syndrom)
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Measuring image
positions/astrometry
Use first moments of
light distribution
Deblending crucial, the
fainter the objects are
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The Redshift
1 + 𝑧 = 𝜆𝑜𝑏𝑠 /𝜆𝑒𝑚
The shift in observed vs.
emitted wavelength is a
consequence of motion
Blueshift when moving
towards the observer
Redshift when moving away
from the observer
In an expanding Universe
objects are moving away
from each other: Redshift
Redshift is distance: v=Hd
Looking to a galaxy in
rotation: velocity field with
blue/red shift
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Measuring photometric
redshifts
Photo-z is a redshift derived
from photometric data
Use the SED (Spectral Energy
Distribution)
Correlate against a set of
templates
Same process gives *-mass,
SFR, age, etc.
Accuracy z~3-5%
Probability distribution function
Pb of catastrophic redshifts
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Measure spectroscopic redshifts
Identify observed spectral
features to rest-frame
known features
Identify emission /
absorption features
Take continuum into
account
Cross-correlation to galaxy
templates (Tonry & Davis,
1979, AJ, 84, 1511)
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Rest-frame spectrum
EZ engine:
Garilli et al., 2010,
PASP, 122, 827
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Comparing photo-z and spec-z
Photo-z
Spec-z
Accuracy dz~0.05(1+z)
Accuracy dz~0.001
Accurate 3D mapping
Trained on Spec-z
Catastrophic failures: a few %
All objects detected in
photometry
1 magnitude deeper than
spec-z
Incompletness ~10-15%
Evaluated with photo-z
30-70% of the objects seen
in photometry
Complementary !
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Excellent photo-z, calibrated on spec-z, Ilbert+ 13
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Distances and Peculiar velocities
Galaxies have a velocity
component separate
from the Hubble flow
vpec=vobs-H0d
Particularly visible in
clusters because of high
velocity dispersion
Finger of God effect
Distances derived from
redshift measurements
need to be corrected for
this
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I.b. Apparent magnitudes and flux
Once objects are identified, get the total
observed flux on an image
Sum the number of photons on detector
Calibrated using reference sources
Apparent magnitude m=-2.5log(Flux)+C
SExtractor
In a spectrum, get the flux in a spectral line
Sum all the photons in a line
Compute equivalent width
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I.c. Sizes
Apparent sizes in arcsec,
arcmin, deg
Galaxies z>0.5: arcsecscale
Clusters of galaxies z>0.5:
arcmin-scale
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I.c. Morphology
Morphology of extra-
galactic objects
Galaxies
Clusters/groups
Galaxies
Parametric
Non-parametric
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Parametric fit to morphology
Represent a galaxy by a
2D model
Typical profile for spirals
(exponential disc), and
ellipticals (r1/4 profile)
Generalized Sersic profile
𝑙𝑛 𝐼 𝑟 = 𝑙𝑛𝐼0 − 𝑘𝑟1/𝑛
Offers a basis to
automated classification
Becomes complicated at
z>1
Galaxies become mostly
irregular
See CAS (Concentration-Asymetry-Clumpiness) non-parametric classification
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Observables in deep surveys:
II. Indirect measurements
a. Relative velocities, velocity fields, local
b.
c.
d.
e.
density
Physical sizes
Absolute luminosities and flux
Stellar masses, star formation rate, age,
metallicity, dust,…
Look-back time
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II.a. Relative velocities, velocity
fields
In galaxies
Rotation, sub-
components
Between galaxies
Mergers, dv<500km/s
In clusters
Velocity dispersion gives
the cluster mass if
virialized
𝑅𝑣 2
𝑀𝑡𝑜𝑡 ~2
𝐺
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II.a. Local density
Density excess over
mean
Environmentdependent properties
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II.b. Physical sizes
Transform observed angular
See cosmology calculators:
http://www.bo.astro.it/~cappi/cosmo
tools
Examples: @z=1 1deg=29Mpc
For CDM
Angular scale kpc/”
size to physical dimension at the
source : via the cosmological
model
Use angular diameter distance
Redshift
@z=5 1deg=23Mpc
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II.c. Absolute luminosities
Transform apparent to absolute magnitude
Apparent
in band R
Absolute
in band Q
Distance modulus
K correction
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II.d. Stellar mass, star formation
rate, age, dust,…
Stellar populations add up to
produce a galaxy luminosity and
colors
Stellar population synthesis
models aim at reproducing the
observed stellar light from
galaxies
See Bruzual and Charlot, 2003,
MNRAS, 344, 1000
Includes changes with age, with
metallicity
Extinction law from dust
Difficulties with degeneracy
Age vs. Metallicity
IMF and SFR laws
Synthetic spectra vs. Age
(at fixed metallicity)
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II.d. Spectral energy distribution fit by models
Photometric measurements
SED fit with stellar population
template
Photometry: over a broad
wavelength range:
- Tracer of stellar populations
- Measurement of *-mass (red
SED)
- Measurement of star
formation (blue SED)
- Extinction
- Age (of last burst of SF)
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II.e Look-back time
The redshift – distance
relation is also a
distance-cosmic time
relation
Look-back time: the
time it takes the light
to come from an object
at redshift z
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Observables in deep surveys:
III. Statistical measurements
a. Counts N(m), N(z)
b. Luminosity Functions, Luminosity Density
and Star Formation Rate
c. Mass Functions, Mass Density
d. Correlation functions, HOD
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III.a Counts N(m)
Count galaxies as a function of magnitude
• Depends on the band/wavelength
History: “blue galaxy counts excess”
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III.b Luminosity function
Luminosity Function:
counts of galaxies per
luminosity, per unit
volume
Parametrized as a
Schechter function
* = characteristic
density
L*= characteristic
luminosity
= faint end slope
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III.b Luminosity density, SFRD
Luminosity Density:
mean luminosity per unit
volume
Integrate LF
SFRD: use prescriptions
to transform flux into
star formation
UV
IR
H
…
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III.c Mass Function and density
Mass Function: counts of
galaxies per stellar mass,
per unit volume
Stellar mass density:
integrate Mass Function
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III.d Correlation Function
Excess probability over random that a
galaxy in dV2 will be found at a
distance r12 from a galaxy in dV1
Contains cosmological information
Small scales: redshift space distortions
Large scales: Baryon acoustic oscillations
Halo occupation
rp
Power spectrum P(k): Fourier
Transform of Correlation function
In practice (G: galaxy sample, R:
random sample):
Angular CF:
2D:
Projected:
w()
(rp,)
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From Sylvain de la Torre
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III.d Correlation Function:
Redshift Space Distortions
Deviations from
Hubble flow produce
flattening of CF on
large scales along line
of sight
This is linked to the
growth rate of
structures
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III.d Correlation Function: BAO
Baryon acoustic oscillations
produced when photons
decoupled from matter at
recombination
Leaves a signature in the CF
Peak at ~100 h-1 Mpc
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Observables in deep surveys:
IV. Cosmological parameters
a. Hubble constant, age of the universe
b. Density parameters
a.
b. m
c.
b
c. Equation of state
d. …
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