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Seeing Dark Energy(or the cosmological constant which is the simplest form of
DE)
Professor Bob Nichol(ICG, Portsmouth)
Overview
1. Cosmology Primer2. Standard Candles (Supernovae)3. Standard Rulers (CMB)4. My role in all this (SDSS)
ISW effect BAO
COSMOLOGY PRIMER
FRW Equation
• Assuming homogeneous and isotropic universe (RW metric), then GR gives:
Hubble Parameter
Average density of
matter
‘a’ is the scale factor (“radius”) of the Universe relative to
today
k is the curvature of space-time of the
Universe (a constant)€
H 2 ≡a•
a
⎛
⎝
⎜ ⎜
⎞
⎠
⎟ ⎟
2
=8π
3ρ −
k
a2−
Λ
3
Cosmological constant, but could be fn of time & space
w=p/=-1
3 Solutions to FRW equation (=0)
R
timeBangBang
Never stop!
Stop at infinity
Big crunch!
Value of decides the fate of Universe! Like throwing a stone into space
Larg
er
univ
ers
e
Later in Universe
Search for two numbers (H0 and 0)
Subscript “0” means today (R=1), but formula holds at other cosmic times. Total
energy density ()
€
0 ≡ρ 0
ρ c=
8πG
3H02ρ 0
€
0 = Ωm +ΩΛ +Ωk =1
Standard Candles
Luminosity Distance
• We can’t measure distances in the Universe directly, so hard to measure geometry and expansion rate directly
• dL is the luminosity distance and depends on the cosmological parameters, z is the redshift
€
dL =cz
H0
(1+1
2(1−
Ω0
2)z+.....)€
L =f
4πdL2
Supernovae II
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(lookback time)(lookback time)(lookback time)(lookback time)
(dis
tan
ce)
(dis
tan
ce)
Supernova are Supernova are 20% fainter 20% fainter than they than they should beshould be
Supernova are Supernova are 20% fainter 20% fainter than they than they should beshould be
Standard Rulers
Baryon Acoustic Oscillations
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Initial fluctuation in DM. Sound wave driven out by intense pressure at 0.57c.
BaryonsBaryons PhotonsPhotons
CMB
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After 105 years, we reach recombination and photons stream away leaving the
baryons behind
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Preferred scale imprinted on CMBPreferred scale imprinted on CMB
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€
dA = dL (1+ z)2
My research
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Sloan Digital Sky Survey
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Integrated Sachs-Wolfe Effect
What we measure
SDSSSDSSSDSSSDSS
WMAPWMAPWMAPWMAP
No Signal - No DENo Signal - No DE
Positive Signal - DE!Positive Signal - DE!
Most direct evidence yet
that dark energy exists we see it’s repulsive
force counteracting gravity directly
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baryons photons
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TodayToday
Sullivan et al. (2003)
m=0.256+0.019-0.023
Percival et al. (2006)
• Supernovae
•CMB • SDSS/LSS
• Supernovae
•CMB • SDSS/LSS
So is w=-1?So is w=-1?
99.74% detection
Percival et al. (2006)
143k + 465k
79kz~0.35
z~0.2
Percival et al. 2007
Measure ratio of angular-diameter distance between these redshifts (D0.35 /D0.2)
D0.35 /D0.2 = 1.812 ± 0.060
(ratio should be 1.67 for cosmological constant)
Future Questions
• Is it a Cosmological Constant? Better measurements, specifically control of systematics (new experiments)
• Is it just a breakdown of GR on large scales? Probe universe using different measures (growth of structure). Again limited by systematics
• Better theory (any theory!)• Parallels with HEP - large careful experiments
worrying about large datasets and systematics
DES, SDSS-III, WFMOS, DUNE, SPACE, SNAP, ADEPTDES, SDSS-III, WFMOS, DUNE, SPACE, SNAP, ADEPT