Introduction to general relativity

A.Y. 2021/2022
6
Max ECTS
42
Overall hours
SSD
FIS/02
Language
Italian
Learning objectives
This class represents an introduction to the theory of general relativity (GR). It starts with an introduction to differential geometry, the language in which GR is written. After that, the Einstein field equations are derived heuristically, and are finally solved in certain contexts, such as spherical symmetry (leading to the Schwarzschild solution), gravity waves and cosmology.
Expected learning outcomes
At the end of the course the student is expected to have the following skills:
1. Profound knowledge of differential geometry;
2. Knows the Einstein field equations and their Newtonian limit;
3. Is able to solve the Einstein equations in a context with enough symmetry;
4. Knows the physics of the Schwarzschild solution and the classical tests of GR;
5. Knowledge in modern cosmology.
Course syllabus and organization

Single session

Lesson period
First semester
More specific information on the delivery modes of training activities for academic year 2021/22 will be provided over the coming months, based on the evolution of the public health situation
Course syllabus
Introduction to differential geometry, special relativity, Einstein equations, Schwarzschild geometry, linearized Einstein equations, Newtonian limit, gravity waves, black holes, FLRW cosmology
Prerequisites for admission
Basics of special relativity, Maxwell equations, classical mechanics.
Teaching methods
Blackboard lectures, tutorials with exercises
Teaching Resources
My lecture notes, well-known textbooks by Carroll, Wald, Straumann, Weinberg, MTW,...
Assessment methods and Criteria
Oral examination
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 6
Lessons: 42 hours
Professor: Klemm Silke
Professor(s)