Troels Harmark

### Introductory lectures to black holes in four and higher dimensions

Lectures given at Laces 2013.

Here are the scanned lecture notes (110 pages in pdf format)

Videos of the lectures posted on YouTube (roughly 10 hours in total):

Overview of all 5 lectures
- Lecture I

- Introduction to D=4 black holes

- Schwarzschild and Kerr metrics

- Measurement of M and J

- Killing Vector Fields

- Static and stationary asymptotically flat space-times

- Uniqueness of black holes

- Lecture II

- Killing horizon

- Rindler space-time and surface gravity

- Area of event horizon

- Hawkings area theorem

- Penrose process

- Black holes mechanics

- Lecture III

- Hawking temperature

- Hawking radiation

- Black hole thermodynamics

- Information paradox

- Why black holes in more than four dimensions?

- Similarities and differences between four and more than four dimensions for black holes

- Black p-branes

- Gravitational field far away from point particle

- Lecture IV

- Gravitational field far away from infinitely thin p-brane

- Definition of stress tensor for p-branes

- Stress tensor for black p-branes

- Thermodynamics of black p-branes

- Boosted black p-branes

- Stress tensor of black Dp-branes

- Dynamics of small black hole in a general geometry

- Dynamics of very thin p-brane in a general geometry

- Blackfold method for black p-branes

- Stationary blackfolds

- Lecture V

- Stationary blackfolds

- Action for stationary blackfolds

- Recipe for finding stationary blackfolds

- Thermodynamics of stationary blackfolds

- Example 1: Rotating black ring

- Example 2: Odd-spheres

- List of different black objects in different dimensions

- Perturbations of blackfolds

- Gregory-Laflamme instability

Links to all videos of Laces 2013