PHYS-427 / 6 crédits

Enseignant: Augusto Penedones Fernandes João Miguel

Langue: Anglais

## Summary

Introduce the students to general relativity and its classical tests.

## Content

Special Relativity (Review):

• Lorentz transformations
• Energy-momentum tensor

General relativity:

• Equivalence principle
• Tensor analysis and physics in curved space-time
• Einstein's equations
• Schwarzschild solution
• Classical tests of Einstein's theory
• Gravitational waves

## 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

## Bibliography

1. S. Carroll, "Spacetime and Geometry: an Introduction to General Relativity"
2. B. Schutz, "A First Course in General Relativity"
3. R. Wald, "General Relativity"
4. S. Weinberg, "Gravitation and Cosmology"
5. C. Mizner, K.S. Thorne, J.A. Wheeler, "Gravitation"
6. L. Landau, Lifshitz, "The classical theory of fields"

## Dans les plans d'études

• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Relativity and cosmology I
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Type: optionnel
• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Relativity and cosmology I
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Type: optionnel
• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Relativity and cosmology I
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Type: optionnel
• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Relativity and cosmology I
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Type: optionnel

## Cours connexes

Résultats de graphsearch.epfl.ch.