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Lecture notes on Advanced Cosmology: version of the 20.06.2009
Chapter I:
Brief recalls on homogeneous cosmology (11 pages)
1. Introduction
2. Hubble radius, horizons and observable universe
3. Fourier expansion in flat FLRW universe
Chapter II:
Linearized gravity (15 pages)
1. The gauge ambiguity
2. Mathematical definition of gauge transformations
3. Classification of metric perturbations
4. Linearized Einstein equations
Chapter III: Inflation
1.
Motivations (5 pages)
2.
Slow-roll conditions (2 pages)
3.
Quantization and semi-classical transition (7 pages)
4.
Tensor perturbations (13 pages)
5.
Scalar perturbations (8 pages)
with summary of expressions for primordial spectra
Chapter IV: Overview of perturbation evolution in minimal LCDM scenario
1.
Which scales? Which times? Which species? (3 pages)
2.
A stochastic theory (6 pages)
3.
Super-Hubble evolution (18 pages)
with discussion of adiabatic vs. entropy/isocurvature modes
4.
Sub-Hubble evolution during radiation domination (7 pages)
5.
Sub-Hubble evolution during matter domination (6 pages)
6.
Evolution during Lambda/DE domination (4 pages)
with graphical summary of sections 3,4,5,6.
7.
Matter power spectrum (6 pages)
Chapter V: CMB temperature anisotropies
1.
Boltzmann equation for photons (25 pages)
2.
Coupled equations for baryons (1 page)
3.
Fom perturbations to CMB anisotropies (14 pages)
4.
Generic contributions to the CMB spectrum (12 pages)
5.
Physical effects controlling the spectrum shape (2 pages)
6.
Effect of individual cosmological parameters on the CMB spectrum (3 pages)
Last update in 2009. Back to
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