cosmology · hubble parameter density parameter deceleration parameter density parameter Ω o) g h...
TRANSCRIPT
![Page 1: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/1.jpg)
CosmologyPast, Present and Futureof the Universe
![Page 2: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/2.jpg)
What do we have??
![Page 3: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/3.jpg)
What do we have?? (other wavelengths)
![Page 4: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/4.jpg)
Early theories
![Page 5: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/5.jpg)
Early theories
Newtonian Universe
Einstein Universe
![Page 6: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/6.jpg)
Hubble’s law
![Page 7: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/7.jpg)
What is Universe made of??
![Page 8: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/8.jpg)
Some math!!!!!
Robertson – Walker metric
Friedmann Equation
++
−−= )sin(
1)( 2222
2
22222 φθθχ
χχ ddk
dtadtcds
2
22 )(
38)(
aktG
aatH −=
= ρπ
![Page 9: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/9.jpg)
Some More Math
Fluid equation
Acceleration Equation
Equation of state
( ) 03 =++ paa ρρ
)3(3
4 pGaa
+−= ρπ
![Page 10: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/10.jpg)
Geometry of space
![Page 11: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/11.jpg)
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
=
![Page 12: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/12.jpg)
Mixtures of radiaton and matter
![Page 13: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/13.jpg)
Observational Parameters
Hubble parameter
Density Parameter
Deceleration Parameter
![Page 14: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/14.jpg)
Density Parameter (Ωo)
GHtc π
ρ83)(
2
=
2300 )//(10879.1 MpcskmHc
−×=ρ 37200 /1078.2 MpcMH sunc ×=ρ
cρρ
=Ω22Ha
kk −=Ω
![Page 15: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/15.jpg)
Deceleration parameter
Not required if we know everything about the composition of universe
)()()(1
)()(
22 tatata
Htataq
=−=
![Page 16: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/16.jpg)
Dark Matter
![Page 17: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/17.jpg)
Dark Energy
![Page 18: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/18.jpg)
Dark energy and Cosmological Constant
23HΛ
=Ω
Gπρ
8Λ
=Λ
2cp ΛΛ −= ρ
![Page 19: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/19.jpg)
A look back!!!!
3)(
38)( 2
22 Λ
+−=
=
aktG
aatH ρπ
( ) 03 =++ paa ρρ
3)3(
34 Λ
++−= pGaa ρπ
![Page 20: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/20.jpg)
Cosmic Microwave Background Radiation
Arno Penzias and Robert Woodrow Wilson in 1964
First light in space
T = 2.725 K
z = 1100
![Page 21: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/21.jpg)
Getting CMBR
![Page 22: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/22.jpg)
Inflation
Horizon Problem
Flatness Problem
![Page 23: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/23.jpg)
A brief History of time
![Page 24: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/24.jpg)
A brief History of Time
Plank era Space time Foam Symmetry Breaking Inflation Baryogenisis Nucleosynthesis Recombination Origin of structure
![Page 25: Cosmology · Hubble parameter Density Parameter Deceleration Parameter Density Parameter Ω o) G H c t π ρ 8 3 ( ) 2 = 30 2 c0 1.87910H(km/s/ Mpc) ρ = × − 2 7 3 ρ c0=2.78H0](https://reader033.vdocuments.mx/reader033/viewer/2022052723/5f0ea54e7e708231d4403d54/html5/thumbnails/25.jpg)
THANK YOU