Standard Model of the Universe

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the standard cosmological model
Taipei School/Workshop on Large Scale Structures
of the Universe National Center for
Theoretical Sciences ???????? May 28 June 2,
2007
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Cosmology has never provided a proof of the
correctness for any models of the universe. The
glory of cosmology is to be able to kill a lot
of models and theories of the universe. The
so-called standard model is only a survivor,
i.e. the one which has not yet been ruled out
with current study.
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H_0
50-100 km/sec Mpc
q_0
-1 2
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at Tiananmen square
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standard model of LCDM
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Cosmological principle
no center
no points in the universe are preferential all
positions carry the same weight.
philosophical view physical arguments observations
degree of freedom 1 (two parameters)
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Friedmann-Robertson-Walker metric
a(t) scale factor k -1, 0, 1 for open, flat,
close universe
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geometry of the space
K-1
K0
K1
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redshift
light ds0
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dynamics of a(t)

• Einstein equations

• Metrics

• Equations of state

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Friedmann equations
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2
3
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Newtonian cosmology(1 degree of freedom
particle)
Newton
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Einstein
equation
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Newtonian cosmology
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equation
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Newton
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Einstein
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first law of thermodynamics
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equation
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evolution of mass density
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Hubble parameters and critical density
Friedmann equation
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Hubble parameter
critical density
these relations are correct for all t
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geometry of the space and mass density
k-1
k1
k0
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evolution of Hubble parameter (k0)
critical density at present
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evolution of Hubble -parameter
Define
we have
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evolution of mass density
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evolution of mass density
z 0.7
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radiation era and matter era
Matter-Radiation Equality
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distance- luminosity relation (source at
redshift z with luminosity L)
Observation
c
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Hubble relation
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1986
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age of the universe
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age of the universe (general)
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cosmological parameters (today)
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standard model of LCDM