Lecturer: Hamed Adami
Course Description:
This course provides an exploration of black hole physics, focusing on various types of black holes and their intricate properties in the framework of general relativity. Students will begin by studying the Schwarzschild black hole, exploring the motion of test particles through geodesics and affine parameterization. Key topics include the role of symmetries and Killing vectors, spherically symmetric pressure-free collapse, and the distinctions between black holes and white holes.
The course will then cover advanced concepts such as Kruskal-Szekeres coordinates, eternal black holes, time translation in the Kruskal manifold, null hypersurfaces, Killing horizons, and the Rindler spacetime. Concepts of surface gravity, Hawking temperature, and the Tolman Law-Unruh temperature will be introduced alongside Carter-Penrose diagrams and their role in conformal compactification.
Further sections will delve into the Reissner-Nordström charged black hole and its collapse, discussing the nature of Cauchy horizons, multi-black hole solutions, and the uniqueness theorems in rotating black holes. The Kerr solution and the ergosphere, along with the Penrose process and energy extraction limits, will be key focuses.
Students will also engage with topics like the covariant formulation of energy and angular momentum, including ADM energy and Komar integrals. A thorough discussion of black hole mechanics follows, with an emphasis on the geodesic congruences, the laws of black hole mechanics (including the Zeroth, First, and Second Laws), and Smarr’s formula.
The course concludes with a study of Hawking radiation, the quantization of free scalar fields, particle production in non-stationary spacetimes, and the thermodynamic implications of black holes. Special attention will be given to the black hole information paradox.
Number of Sessions: 15
Time and Location:
- 14:00-15:20, Wednesday, Room 1410
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