At the end of this learning unit, the student is able to :
a. Contribution of the teaching unit to the learning outcomes of the programme (PHYS2M and PHYS2M1)
1.1, 1.2, 1.5, 2.1, 2.5, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 5.1, 5.2, 5.3, 5.4, 7.1, 7.3, 8.1.
b. Specific learning outcomes of the teaching unit
By the end of this teaching unit, the student will be able to :
1. understand, reproduce and check the results of basic research publications in cosmology ;
2. tackle down any calculations in general relativity.
Lectures start from the following tree :
• A description of the inhomogeneous universe
- Measured CMB anisotropies and large-scale structures
- Horizon and flatness problem, the origin of the inhomogeneities
• Theory of the cosmological perturbations
- Gauge invariance in general relativity
- Scalar, vector and tensor decomposition
- Perturbed metric and linearised Einstein equations
- Perturbed stress tensor, gauge invariant fluid quantities
- Density fluctuations, gravitational waves and power spectra
• Cosmic microwave background anisotropies
- Photon propagation in inhomogeneous space-times
- Beyond the fluid approach : perturbed Boltzmann equations
- Angular power spectra for scalars and tensors
- Polarization and primordial gravitational waves
- Initial conditions and parameter estimation
• The early Universe
Due to the COVID-19 crisis, the information in this section is particularly likely to change.Teaching activities are alternating between traditional lecturing and guided learning. Calculations are detailed on the black board, in interacting style, while multimedia support is provided for numerical and data analysis results.
Due to the COVID-19 crisis, the information in this section is particularly likely to change.Evaluation is based on a 2 hours long written exam that is focused on solving simple, but original, research-type problems in cosmology with a minimal amount of guidance. The problems require abstract modelling as well as being able to correctly perform calculations in general relativity.
- “Physical foundations of Cosmology”, Mukhanov.
- “Cosmological Physics”, Peacock.
- “The Cosmic Microwave Background”, Durrer.
- “Modern Cosmology”, Dodelson.
- “General Relativity”, Straumann.
- “Relativity”, Stefani.
- “General Relativity”, Wald.