Relativity and cosmology I
Summary
Introduce the students to general relativity and its classical tests.
Content
- Special relativity and flat spacetime
- Manifolds
- Curvature
- Einstein's equations
- The Schwarzschild solution
- More general black holes
- Perturbation theory and gravitational radiation
Learning Prerequisites
Required courses
Analytical mechanics
Classical Electrodynamics
Important concepts to start the course
Special Relativity
Learning Outcomes
By the end of the course, the student must be able to:
- Explain the basic concepts of special and general relativity
- Describe physical phenomena in different coordinate systems
- Compute Christofell symbols and curvatures from a given line element
- Solve Einstein's field equations for static spherically symmetric problems
- Explain the observational effects at the scale of the Solar System that cannot be described by Newtonian gravity
Teaching methods
Ex cathedra and exercices in classroom
Assessment methods
final written exam
Supervision
| Office hours | Yes |
| Assistants | Yes |
| Forum | Yes |
Resources
Bibliography
- S. Carroll, "Spacetime and Geometry: an Introduction to General Relativity"
- B. Schutz, "A First Course in General Relativity"
- R. Wald, "General Relativity"
- S. Weinberg, "Gravitation and Cosmology"
- C. Mizner, K.S. Thorne, J.A. Wheeler, "Gravitation"
- L. Landau, Lifshitz, "The classical theory of fields"
Ressources en bibliothèque
- Gravitation and Cosmology / Weinberg
- Gravitation / Mizner
- General relativity / Wald
- Spacetime and Geometry: an Introduction to General Relativity / Carroll
- A First Course in General Relativity / Schutz
- The classical theory of fields / Landau
Moodle Link
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Relativity and cosmology I
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Relativity and cosmology I
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Relativity and cosmology I
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Relativity and cosmology I
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional