FRW-models, summary

Properties of the Universe set by 3 parameters:  m,  ,  k of Which only 2 are Independent:  m +   +  k = 1

Age of universe for: closed(1), critical(2), open(3), and acellerating(4) models

CMBR spectrum A perfect black body -> thermal equilibrium when emitted

Evolution of energy densities with scale factor R

Evolution of fundamental interactions with time  inflation?

Evolution of R during inflation

What could have caused inflation? Equation of state: p = w  Radiation: w=1/3 Matter: w  0 If w<-1/3 we would get acceleration i.e. Negative pressure makes gravity repulsive! Could w be a function of time? quintessence

The early universe Gamov criterium: A reaction may be important as long as its interaction time scale is shorter than the expansion time scale of the universe Pair production. e.g.  +   e - + e + reaction balance set by temperature, e.g: e + n  e - + p As long as m A c 2 < kT a particle ’A’ may be kept in equilibrium, then ”freeze out”

The early universe… Baryogenesis: matter-antimatter equality broken, Possibly by the decay of a so called X-boson  Net amount of matter  Photon to baryon ration  = 10 9 Neutrino freeze out (decoupling) at t=0.7s Electron-positron pair production ceased and the Annihilation of existing pairs heated up radiation and Matter but not the neutrinos that had already decoupled

Primordial nucleosynthesis All fusion of hydrogen to heavier elements go through the stage of deuterium. p + n  D +  However, D can be dissociated by photons more energetic than 2.2 Mev Since there are many more photons than baryons This will occur frequently enough also at much lower Temperatures than kT=2.2 Mev ~10 10 K  Nucleosynthesis inhibited until the D production rate was higher than the distruction rate (10 9 K, t=200s) DEUTERIUM BOTTLENECK

Primordial nucleosynthesis… However, neutron to proton ratio was fixed earlier (t=1s) when the neutrinos froze out: N(n)/N(p)=0.22 Since then until t=200s, some neutrons have decayed so N(n)/N(p)=0.16 Basically all leftover n ends up in D and almost all of that becomes He. Nothing heavier than Li is made. The He adundance is therefore determined by  (since we know the current CMBR photon density this gives us  bar ) Other trace elements: D, 3 He, 7 Li depend more strongly…

Primordial nucleo- synthesis… Only a small Fraction of all Matter may be Baryonic Still larger than The luminous Matter density Galaxies could be baryonic?

(re)combination Similarly to above, the vast amount of photons can Keep hydrogen ionised to temperatures well below 13.6 eV. But when T<4500 K the number of energetic Enough photons is to small and protons and electrons can combine to form neutral hydrogen Matter and radiation decouples Last scattering surface at z = 1100 (T=3000K) Leads to dramatic drop in pressure for the matter Observable as 3000/1100=3K CMBR, no lines since  >>1 and  z >>1

CMBR according to COBE Penzias & Wilson Cosmic microwave Background Early universe Hot & Dense Dipole

Last scattering ”surface”

Structure/galaxy formation The concept of Jeans mass Gravity vs pressure Static medium: M > M jeans  exponential growth Expanding EdS: M > M jeans  linear growth Expanding Open universe: M > M jeans  no growth EdS: temperature fluctuations in CMBR expected at the level, but only observed Dark matter comes to rescue!

Hierarchical growth of structure

CMBR fluctuations

Problems with standard BB I. Magnetic Monopoles

Problems with standard BB II. Horizon problem

Problems with standard BB III. Flatness Problem

Problems with standard BB IV. Origin of structure Inflation enlarges the scale of quantum fluctuations Microscopic Becomes Macroscopic

The nature of dark matter Baryonic dark matter Hot vs cold non-baryonic dark matter: e.g. Nutrinos vs WIMPs

Nature of dark energy -Cosmological constant -Vaccuum energy -Quintessence -String/Brane theory, extra dimensions

Observations of the distant universe HST Ultra Deep Field 2 weeks of exposure Most distant galaxies at z=6 Problem: most of the light comes out in the infrared

”Madau-plot”

Madau plot is very sensitive to asssumptions about dust

Hierarchical growth of structure Galaxy formation is a continous process Each big galaxy has had one major merger since z=1

Closing in on the dark ages…

JWST

Some future observational tools ALMA, sub-mm, 64 antennae JWST “the first light machine” 6.5 m OWL the overwhelmingly large telescope +50m