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COSMOLOGY. International Meeting of Fundamental Physics (“Winter” meeting) Santiago de Compostela, 2007. Eduard Mas só UAB/IFAE. Program. The standard cosmological model The observed universe Inflation. Neutrinos in cosmology. Emphasis on “Particles”. Science, vol. 315, 2007.
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COSMOLOGY International Meeting of Fundamental Physics (“Winter” meeting) Santiago de Compostela, 2007 Eduard Massó UAB/IFAE
Program The standard cosmological model The observed universe Inflation. Neutrinos in cosmology Emphasis on “Particles”
lights-years ago Our universe is expanding co-moving distance scale today redshift
Co-moving co-ordinates On top: peculiar (real) velocities
Hubble’s law & Cosmological principle Cosmological principle Universe homogenous & isotropic on large scales Hubble parameter (today) Hubble’s discovery Hubble’s law:
RG + CP Expansion (or contraction) is inevitable Robertson-Walker metric (homogeneity & isotropy) Parameters: Content (matter+radiation) Content too (cosm. const.) Parameters are related by eqs. Spatial geometry
Friedmann eqs. Cosmological equations 1 2a 1+2a -> 2b
Spatial geometry &Light propagation Open Closed FLAT 3D
Absolute luminosity E/time in rest frame Luminosity distance Measured flux (E/time/area) Luminosity distance
Hubble’s law Exact: Small z Deceleration parameter That was kinematics
Cosmological constant contribution Negative pressure + any other component
Solution to cosmological eqs. Equation of state Assume i - dominance and RD universe MD universe. CCD universe
Critical density Define Define also (Today) Not energy-density contribution
Rewriting Friedmann eqs. Cosmic sum rule 2a today Notice signs
EE EE R R Diff. eq. The future + Initial conditions taken today Eternal Expansion OR Recollapse ? 1 2 3
Distance - Redshift Co-moving distance to source: Where: Can neglect Distance-redshift relation is function of
Age of the universe look-back time lifetime Flat univ. Our univ. (Age crisis: Open universe gave too low lifetime)
nucleosynthesis The past universe rad recombination mat cc equality today next
Equilibrium thermodynamics The hot universe g= deg. of freedom number density energy density pressure distribution
rates Decoupling of species Expansion: Interaction:
Phase transitionsSymmetry restoring 2n order
Phase transitions 1st order
It is the physical distance photons can travel until a time t Particle Horizon Defines causal distance at a given time t
Program The standard cosmological model The observed universe Inflation. Neutrinos in cosmology