cosmology · hubble parameter density parameter deceleration parameter density parameter Ω o) g h...
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CosmologyPast, Present and Futureof the Universe
What do we have??
What do we have?? (other wavelengths)
Early theories
Early theories
Newtonian Universe
Einstein Universe
Hubble’s law
What is Universe made of??
Some math!!!!!
Robertson – Walker metric
Friedmann Equation
++
−−= )sin(
1)( 2222
2
22222 φθθχ
χχ ddk
dtadtcds
2
22 )(
38)(
aktG
aatH −=
= ρπ
Some More Math
Fluid equation
Acceleration Equation
Equation of state
( ) 03 =++ paa ρρ
)3(3
4 pGaa
+−= ρπ
Geometry of space
Simple Cosmological Models
Matter –
Radiation –
za
+=
11
0=p
3
2cp ρ=
30
aρρ =
3/2
0
=
tta
tH
32
=
40
aρρ =
2/1
0
=
tta
tH
21
=
Mixtures of radiaton and matter
Observational Parameters
Hubble parameter
Density Parameter
Deceleration Parameter
Density Parameter (Ωo)
GHtc π
ρ83)(
2
=
2300 )//(10879.1 MpcskmHc
−×=ρ 37200 /1078.2 MpcMH sunc ×=ρ
cρρ
=Ω22Ha
kk −=Ω
Deceleration parameter
Not required if we know everything about the composition of universe
)()()(1
)()(
22 tatata
Htataq
=−=
Dark Matter
Dark Energy
Dark energy and Cosmological Constant
23HΛ
=Ω
Gπρ
8Λ
=Λ
2cp ΛΛ −= ρ
A look back!!!!
3)(
38)( 2
22 Λ
+−=
=
aktG
aatH ρπ
( ) 03 =++ paa ρρ
3)3(
34 Λ
++−= pGaa ρπ
Cosmic Microwave Background Radiation
Arno Penzias and Robert Woodrow Wilson in 1964
First light in space
T = 2.725 K
z = 1100
Getting CMBR
Inflation
Horizon Problem
Flatness Problem
A brief History of time
A brief History of Time
Plank era Space time Foam Symmetry Breaking Inflation Baryogenisis Nucleosynthesis Recombination Origin of structure
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