2023 - 2024
General Relativity

The assignments can be found on the course webpage. More material can be found on F. Baume's website.

The following documents contain also a small recap of the previous lectures, shamelessly copied from Spacetime and Geometry by S. M. Carroll, General Relativity by R. M. Wald and the lecture notes by M. Blau. More references can be found on the course webpage.

• Assignment 1: review of Newtonian mechanics

• Assignment 2: review of Special Relativity

• Assignment 3: curves and metrics

• Assignment 4: rotating systems with geodesics

• Assignment 5: Local Inertial Coordinate Systems

• Assignment 6 (Wednesday group): references for solutions

• Assignment 7 (Wednesday group): formulas for variating Einstein-Hilbert action

• Assignment 8 (Wednesday group): Dimensional analysis, diffeomorphisms, Lie derivative, Killing vector

• Assignment 9: Florent's website

• Assignment 10: Killing vector (again), Schwarzschild Black Hole, Singularities (see also my notes for Black Holes Workshop and this amazing Spanish YouTube video)

• Assignment 11: Redshift, Geodesics in Schwarzschild Geometry

• Assignment 12: Gravitational waves (see also Assignment 7)

• Assignment 13: Maximally symmetric spaces and Penrose diagrams

Lecture (lecture 3) on Special Relativity and Tensors

Mathematica Notebook for Tensors in General Relativity (not fully tested)