Cosmology
Dietrich Bödeker
Lecture notes, problem sheets
Organization
,
overview
Introduction, units
Fig: Hubble diagram
(source)
Fig: CMB spectrum (PDG 2002)
Fig: CMB temperature fluctuations (NASA/WMAP Science Team)
Fig: Primordial abundance of light nuclei
(PDG)
Sheet 1
1 Expanding Universe 1.1 Newtonian cosmology 1.2 Metric tensor
1.3 Friedmann-Robertson-Walker metric
Sheet 2
1.4 Einstein equations
Fig: DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
Sheet 3
1.5 Solutions to the Friedmann equations
1.6 Propagation of light and particles
Sheet 4
1.7 Measuring a(t)
Hubble-diagram
(
source
)
Type Ia Supernova at z > 1
(
source
)
2 The hot Universe 2.1 Conservation laws
Sheet 5
2.2 Equilibrium thermodynamics
Fig: Effective number of relativistic degrees of freedom
(
source
)
2.3 Entropy
Sheet 6
2.4 Lepton era
3 Neutrino decoupling and electron-positron annihilation
Sheet 7
4 Nucleosynthesis 4.1 Boltzmann equation
4.2 Boltzmann equation for neutron freeze-out
Sheet 8
4.3 Time evolution of neutron concentration
4.4 Deuterium bottleneck
Fig: Time evolution of mass fractions
(
source
)
Fig: Time evolution of number fractions
(
source
)
4.5 Out-of-equilibrium dynamics
Sheet 9
5 Recombination
Fig: recombination history
Sheet 10
5.2 Photon decoupling 6 Electroweak epoch 6.1 Symmetry restauration
6.2 Phase transitions 6.3 Baryon number violation
Sheet 11
7 Baryogenesis 7.1 Sakharov conditions 7.2 Leptogenesis
Fig: illustration of a sphaleron process
Fig: leptogenesis history
7.3 Baryogenesis (J.Vandecasteele)
8 Dark matter
Sheet 12
9 Inflation 9.1 Horizon and flatness problem 9.2 Inflation: the basic picture
9.3 Solving the horizon problem 9.4 Slow-roll inflation
Astrophysical constants
Physical constants
Textbooks
V. Mukhanov
Physical Foundations of Cosmology
V. Rubakov, D. Gorbunov,
Introduction to the Theory of the Early Universe: Hot Big Bang Theory
E.W. Kolb, M.S. Turner,
The Early Universe
V. Rubakov, D. Gorbunov,
Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory