Early universe cosmology

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