General Relativity: The Theory of Gravitation

26 August – 8 September 2019

Title of the course: General Relativity: The Theory of Gravitation
Instructors: Bayram Tekin, Kadri İlker Berktav
Institution: METU
Dates: 26 August – 8 September 2019
Prerequisites: Vector and Tensor Calculus on Manifolds
Level: Advanced undergraduate, graduate
Abstract: The theory of gravitation is General Relativity. We shall   give a basic level introduction to the subject. A “Differential Geometry” course that will be given by Özgür Kişisel and İlker Berktav, concurrently, must be taken by students who lack the proper background on manifolds and related matters. Contents:
1. Broad overview of General Relativity
2. Special relativity
3. Vectors and tensors on flat spacetime
4. Mathematical description of matter and fields: the energy-momentum tensors
5. Curvature
6. Einstein Field equations
7. Gravitational Waves
8. Black Holes
9. Cosmology
Language: TR, EN
References: “A First Course in General Relativity” by B. Schutz,
“Lecture Notes on General Relativity” by Sean M. Carroll