Early universe cosmology

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Questions

July 2017

Hertog:

Question 1)

  • Given the transferfunction, derive the form of the power spectrum in the Harrison-Zel'dovich-Peebles theory. Discuss the influence of the cosmological parameters on the spectrum. (I don't recall which specifically)

Question 2)

  • Derive the realtion between the CMB temperature and the temperature of the neutrino background radiation
  • Calculate and discuss the deuterium number density when it falls out of equilibrium

Question 3) (Homework)

  • Proof that the existence of a Big Bang if the SEC is satisfied. How does Quantum Cosmology solve this problem?

Craps

Question 4)

  • Discuss the influence of reionisation. (Don't recall exactly what he asked, its the part about reionisation in Lesgourges)

Question 5) (Homework)

  • Derive the identity (6.113) from Dodelson (The identity was given)
  • Extra: discuss the spectral indices. (I recall deriving them using the previous identity)

August 2017

Hertog:

Question 1)

  • Find the solution of the Meszaros equation. Discuss the Harrison-Zel'dovich-Peebles spectrum.

Craps Question 2)

  • Derive the identities for the inflation parameters in a slow roll potential. (The identities that relate the parameters (\epsilon, \eta) with the potential V)

Question 3)

  • Discuss cosmic variance