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General Relativity
Last Updated: 2026-06-03 00:07:49
Abstract
Introduction to the theory of general relativity. The course puts a strong focus on the mathematical foundations of the theory as well as the underlying physical principles and concepts. It covers selected applications, such as the Schwarzschild solution and gravitational waves.
Objective
Basic understanding of general relativity, its mathematical foundations (in particular the relevant aspects of differential geometry), and some of the phenomena it predicts (with a focus on black holes).
Content
Introduction to the theory of general relativity. The course puts a strong focus on the mathematical foundations, such as differentiable manifolds, the Riemannian and Lorentzian metric, connections, and curvature. It discusses the underlying physical principles, e.g., the equivalence principle, and concepts, such as curved spacetime and the energy-momentum tensor. The course covers some basic applications and special cases, including the Newtonian limit, post-Newtonian expansions, the Schwarzschild solution, light deflection, and gravitational waves.
Resources
Literature
Parts of the lecture are based on the book "General Relativity" by R. Wald. Other suggested textbooks: “Gravitation" by C. Misner, K, Thorne and J. Wheeler "Spacetime and Geometry: An Introduction to General Relativity” by S. Carroll "Gravitation and Cosmology" by S. Weinberg
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 180 minutes
- Aids
- 10 double-sided A4 pages
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | General Relativity | No time listed | 4 h weekly |
| exercise | General Relativity | No time listed | 2 h weekly |
Offered In
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Application Area (Only necessary and eligible for the Master degree in Applied Mathematics. One of the application areas specified must be selected for the category Application Area for the Master degree in Applied Mathematics. At least 8 credits are required in the chosen application area. Credits from other application areas cannot be recognised for further application areas.)
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Theoretical Physics (In the Master's programme in Applied Mathematics 402-0205-00L Quantum Mechanics I is eligible as a course unit in the application area Theoretical Physics, but only if 402-0224-00L Theoretical Physics wasn't or isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office ( ) after having received the credits.)
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Core Courses (One Core Course from Physics Bachelor (BSc Regulation 2021) is eligible as an elective. To assign a category, leave the option "no category" and contact the Study Administration ( ) once you have received the credits.)
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