The Early Universe

14756.2031  |  Winter term 2023/24

Prof. Dr. Claus Kiefer

The lectures are available online here. For convenience we will republish the material on this page weekly, starting from October 9, 2023.
In addition, there will be a questions and answers session (in presence) on Wednesdays from 11:45-12:30 in room 0.03 (new building), start: October 11.

Attention: The session does not take place on 13 and 20 December.

Specialized Master course within the Primary Area of Specialization GR-QFT

The Cosmic Microwave Background as seen by Planck

Contents of the lecture

Description of the Universe in the first three minutes of its existence with special focus on the inflationary universe.


This course is intended for Master students with a background knowledge in General Relativity.
As a preparation, Chapter 12 of Relativity and Cosmology II is suggested.


Mirrors Section Release
Vimeo YouTube 0. Overview & 1. The expanding Universe Oct 10
Vimeo YouTube 1.1. Cosmological Redshift Oct 16
Vimeo YouTube 1.2. Distance measures & 1.3. Temporal evolution of the scale factor Oct 23
Vimeo YouTube 1.4. Horizons & 1.5. de Sitter space Oct 30
Vimeo YouTube 2. The hot Universe Nov 6
Vimeo YouTube 2.1. Leptonic phase & 2.2. Nucleosynthesis Nov 13
Vimeo YouTube 2.3. (Re)combination & 2.4. Baryogenesis & 2.5.Topological defects Nov 20
Vimeo YouTube 3. Inflation I: The homogeneous limit & 3.1. Flatness problem
& 3.2. Horizon problem
Nov 27
Vimeo YouTube 3.2. Horizon problem (continued) & 3.3. Scenarios of inflation Dec 4
Vimeo YouTube 3.3. Scenarios of inflation (continued)
& 3.4. Examples of inflationary potentials
Dec 11
Vimeo YouTube 4. Gravitational instability in Newtonian theory Dec 18
Vimeo YouTube 4. Gravitational instability in Newtonian theory (continued)
& 5. Gravitational instability in GR
Jan 8
Vimeo YouTube 5. Gravitational instability in GR (continued)
& 6. Inflation II: Quantum origin of primordial fluctuations
Jan 23