Geometry and physics of black holes
Lectures at Dubna International Advanced School of Theoretical Physics
Dubna, 11-19 May 2017
These lectures introduce some aspects of black hole physics via a geometrical approach. The prerequisite is some basic knowledge of general relativity, at the level of an introductory course.
Lecture 1 (11 May 2017)
Null hypersurfaces and event horizons
Figures
Lecture 2 (16 May 2017)
Differential geometry with the open-source software system SageMath
Slides
Running SageMath (with ou without installation)
Lecture 3 (16 May 2017)
The Schwarzschild black hole
Figures
Lecture 4 (17 May 2017)
The Kerr black hole
Figures
Lecture 5 (18 May 2017)
Evolution and thermodynamics of black holes
Figures
Lecture 6 (19 May 2017)
The quasi-local approach to black holes: trapping horizons
Figures