Geometry and physics of black hole spacetimes

1. Gravity as spacetime curvature.
2. A first case study: spherical collapse.
3. Gravitational collapse in General Relativity: theorems, conjectures and initial value problem.
4. Black hole region and Horizons.
5. The Kerr solution.
6. Particle motion in a black hole background.
7. Physics of black holes: spin bounds, no-hair properties, gravitational radiation.
8. Classical and quantum fields in the presence of a black hole.