Daniel Grumiller's Teaching page

Black Holes - From Collapse to Evaporation (Book published 2022 in Springer)

Slides on Black Holes for TU Wien students

Electrodynamics II (136.018)

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Black holes I (136.028)

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Announcement

Black holes have advanced to the forefront of current research in various disciplines: besides the obvious ones, general relativity, mathematical physics and astrophysics, also string theory, quantum chromodynamics, cosmology, computational physics, quantum gravity and even part of condensed matter physics devote a significant fraction of their resources to the study of black holes. It is thus both a fascinating and timely subject to investigate.

The main purpose of this lecture is a comprehensive introduction to black hole physics.

Topics covered in these lectures:

• History of black holes
• Phenomenology of and experiments with black holes
• Gravitational collapse and Chandrasekhar limit
• Metric and geodesic equation
• Geodesics for Schwarzschild black holes
• Curvature and basics of differential geometry
• Hilbert action and Einstein equations
• Spherically symmetric black holes and Birkhoff theorem
• Rotating black holes: the Kerr solution
• Geodesics for Kerr black holes
• Accretion disks and black hole observations
• Black hole analogs in condensed matter physics

Required pre-requisites: good knowledge of special relativity is required; basic knowledge of general relativity is helpful, but not required; no prior knowledge of astrophysics, particle physics or cosmology is required

Electrodynamics I (136.015)

Black holes II (136.029)

Gravitational waves and their detection (136.105)

Lectures below have ended and will resume in future semesters

Gravity and holography in lower dimensions I (136.083) + II (136.074)