This is an intensive course aimed primarily at Master's and PhD students in gravitational/high-energy/astro-particle/mathematical physics. Advanced Bachelor's students are also encouraged to attend. The course assumes comfort with derivations and calculations in general relativity/pseudo-Riemannian geometry. Due to the variety of background of expected audience and time limit, proofs will not be presented during the lecture. Students are strongly encouraged to approach me during office hours so as to not fall behind on understanding.
Course spacetime coordinates: Tuesday 7th June 2022 - Friday 10th June 2022, Lecture Hall 267, Appelstrasse 2
2 x 2hr lectures a day: 10:00 - 12:00 CET and 14:00 - 16:00 CET
Email:
Office: 208B
Office hours: 16:00-18:00
Paul Townsend's lecture notes and Piotr Chruschiel's notes on the geometry of black holes are all time classics and my personal favourites.
Handwritten notes can be found here. Warning: File is roughly 15MB in size. Typos observed during lectures not corrected yet.
Gravitational collapse of cold stars beyond quantum degeneracy. Derivation of the Schwarzschild solution.
Mathematica notebook for making your lives easier in tensor manipulation can be found here.
On continued gravitational collapse - R. Oppenheimer, H. Snyder (Original paper on model of stellar collapse leading to black hole formation in four dimensions)
The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics - Elliott Lieb & Horng-Tzer Yau (A rigorous derivation of the Chandrasekhar mass)
The Schwarzschild spacetime, extensions of the Schwarzschild spacetime
Treatment of stationary spacetimes:
Initial value problem
Singularity theorem
Penrose-Carter diagrams and conformal compactification
Reissner- Nordstrom black holes and Kerr Black Holes (We did not consider orbits around Kerr black holes)
More on the Kerr spacetime:
Black Hole Mechanics
QFT in curved spacetime, Pair creation in a time dependent gravitational field, Hawking radiation and implications