367 words
2 minutes
General Relativity (Heidelberg, SoSe 2021)
Organizational details
- M.Sc. Physics core course (8 ECTS)
- Course homepage — Prof. Amendola’s website
- Assignments: 50% correct required to be eligible for the July exam. Can be submitted in groups of two (highly recommended).
Literature
Personal recommendations
- Lecture Notes on GR — David Tong: link
- General Relativity: An Introduction for Physicists — Hobson
- Relativity, Gravitation and Cosmology — Lambourne
From Prof. Amendola’s lecture notes
- A First Course in General Relativity — Bernard Schutz
- Lecture Notes on GR — Sean Carroll: arXiv
Tutorials
Handouts
- Handout 1: Introduction to Group III (6 April 2021)
- Handout 2: Preparation tips for GR (6 April 2021)
Tutorial log
-
Friday, 16 April 2021, (3:00 PM – 5:00 PM)
- Organizational matters, literature
- GR in a nutshell
- Crash course: Geodesic equation
-
Tuesday, 20 April 2021, (11:00 AM – 12:45 PM)
- Minkowski metric and light clock gedanken experiment
- Lorentz transformation
- 4-vectors
-
Tuesday, 27 April 2021, (11:00 AM – 12:45 PM)
- Solved exercise 1.1: Doppler effect in SR using kinematics
- Derivation of the geodesic equation in curved space
-
Tuesday, 4 May 2021, (11:00 AM – 12:45 PM)
- Solved exercise 2.1: Constant acceleration in SR
- Solved exercise 2.2: Rindler coordinates in Minkowski spacetime
- Solved exercise 2.3: Compton effect (via conservation laws and 4-vectors)
- Solved exercise 2.4: One-forms I
-
Tuesday, 11 May 2021, (11:00 AM – 12:45 PM)
- Solved exercise 3.1: One-forms III
- Solved exercise 3.2: Energy-momentum tensor of dust
-
Tuesday, 18 May 2021, (11:00 AM – 12:45 PM)
- Solved exercise 4.3: Curved nature of spherical coordinates in Euclidean 3D space
-
Tuesday, 25 May 2021, (11:00 AM – 12:45 PM)
- Solved exercise 5.2: Geodesic equation and affine parameters
- Solved exercise 5.4 (Bonus): Covariant derivative of a metric
- Solved exercise 5.5 (Bonus): Parallel transport in Euclidean space
-
Tuesday, 1 June 2021, (11:00 AM – 12:45 PM)
- Solved exercise 6.1: Local inertial frame in a weak gravitational field
- Solved exercise 6.2: Killing vectors and conserved quantities
-
Tuesday, 8 June 2021, (11:00 AM – 12:45 PM)
- Solved exercise 7.1: Gravitational deflection of light in GR
- Solved exercise 7.2: Gravitational deflection of light in Newtonian gravity
-
Tuesday, 15 June 2021, (11:00 AM – 12:45 PM)
- Solved exercise sheet 8
-
Tuesday, 22 June 2021, (11:00 AM – 12:45 PM)
- Solved exercise sheet 9
-
Tuesday, 29 June 2021, (11:00 AM – 12:45 PM)
- Solved exercise sheet 10
-
Tuesday, 6 July 2021, (11:00 AM – 12:45 PM)
- Solved exercise sheet 11
General Relativity (Heidelberg, SoSe 2021)
https://rohankulkarni.me/posts/teaching/gr_heidelberg_sose21/