Exercises can be submitted as PDF files at the same TUWEL webpage; you always have at least 1 week to complete the exercises; exercises of week 1 are intended as preparation for the lectures (you do not need to wait for the first set of lectures to solve them)

The way this works is precisely as for Black Holes I or II and Gahild I: the best 20 of the 30 exercises count, and each exercise is worth 5 points, so you can get maximally 100 points.

Exercises week 10 (due on June 8)

Exercises week 9 (due on June 1)

Exercises week 8 (due on May 25)

Exercises week 7 (due on May 18)

Exercises week 6 (due on May 11)

Exercises week 5 (due on May 4)

Exercises week 4 (due on April 27)

Exercises week 3 (due on April 20)

Exercises week 2 (due on April 13)

Exercises week 1 (due on March 23)

Topics covered in these lectures:

More on AdS_3/CFT_2
Near horizon holography
JT/SYK (AdS_2/CFT_1)
Flat space holography

Required pre-requisites: Black Holes I+II and Gravity and holography in lower dimensions I or equivalent knowledge about general relativity

Black Holes I (136.028)

TUWEL course (including exercises)

Lecture notes (v1.0 - please send corrections to grumil@hep.itp.tuwien.ac.at)

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

Black Holes II (136.029)

Lecture notes (v1.0 - please send corrections to grumil@hep.itp.tuwien.ac.at)

LECTURES THROUGH DISTANCE LEARNING (USE TISS)

Exercises week 10 (due on June 23)

Exercises week 9 (due on June 16)

Exercises week 8 (due on June 9)

Exercises week 7 (due on May 26)

Exercises week 6 (due on May 19)

Exercises week 5 (due on May 12)

Exercises week 4 (due on May 5)

Exercises week 3 (due on April 28)

Exercises week 2 (due on April 21)

Exercises week 1 (due on March 10)

First lecture sheet (horizons and other definitions)

First lecture: Overview and Goal of Lectures

Announcement

The main purpose of this lecture is a treatment of advanced topics/current research topics in black hole physics.

Topics covered in these lectures:

Black hole definition, causal structure and Penrose diagrams
Raychaudhuri equation, singularity theorems and area theorem
Linearized Einstein equations and gravitational waves
Black hole perturbations and quasi-normal modes
Black hole thermodynamics
Hawking effect
Action principle and boundary issues
Holographic renormalization and Brown-York stress tensor
Asymptotic symmetries and black holes in AdS
Gravity aspects of AdS/CFT

Required pre-requisites: the lecture Black Holes I is a necessary pre-requisite (or, equivalently, good knowledge in General Relativity/basics of black hole physics)

Black Holes

Dilaton Gravity

Student projects

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