Contenu
Objectives: Introduction to Einstein's theory of gravity.
Organization: CM: 15 h, TD: 10 h.
Necessary background: classical field theory
Topics of the course: Elements of differential geometry: manifolds, metric, connections, curvature, Lie derivative, Killing vectors. Einstein equations, classical tests, massive spherical bodies, gravitational collapse. De Sitter space, Friedmann-Robertson-Walker metric. Axially symmetric metrics, initial value problem.
Skills to be achieved:
Understanding the basic principles of Einstein's theory.
Ability to handle the Einstein equations in simple cases.
Grading plan:
Session 1: Written exam (ET) : 100%
Session 2: Written exam (ET) : 100%
