Timetables for the Black Hole course, |
January - March 2004
|Jan 19 Mon||
15:15-17:45: room FL13 (1st lecture)
Infinitesimal distances on a plane and on a sphere. The meric. Coordinate transformations. Covariant and contravariant vectors and tensors. Tensor algebra. Rasing and lowering indicies. Einstein's summation convention.
|Jan 21 Wed||
10:00-12:00 room FL72 (2nd lecture)
Parallel transport. Covariant derivative. Geodesic lines. Frenet's formulae.
|Jan 26 Mon||
15:15-17:45 room FL13 (3rd lecture)
Curvature. Riemann and Ricci tensors and their geometrical meaning. Intrinsic and extrinsic curvature. Examples: sphere, cyllinder.
|Jan 28 Wed||
10:00-12:00 room FL72 (4th lecture)
Minkowski spacetime. Spacelike, timelike and null curves. Observers. Measurements. Lorentz transformations. Uniformly accelerated observer.
|Feb 02 Mon||
15:15-17:45 room FL13 (5th lecture)
General spacetime. Geodesic deviation. Einstein's principle of equivalence. Gravitational field.
|Feb 04 Wed||
10:00-12:00 room FL72 (6th lecture)
Matter. Stress-energy tensor. Killing vectors. Conservation laws.
|Feb 09 Mon||
15:15-17:45 room FL13 (7th lecture)
Einstein's field equations. Schwarzschild equations. The Schwarzschild metric. Circular motion of particles and photons in the Schwarzschild metric.
|Feb 11 Wed||
10:00-12:00 room FL72 (8th lecture)
The effective potential. Epicyclic frequencies. Peryhelion of Mercury advance.
|Feb 16 Mon||
15:15-17:45 room FL13 (9th lecture)
Non-static spacetimes. The Kerr metric. Ergosphere. Dragging of inertial frames. The Penrose process.
|Feb 18 Wed||
10:00-12:00 room FL72 (10th lecture)
Conformal transformations. Optical geometry. Centrifugal force paradox.
|Feb 23 Mon||
15:15-17:45 room FL13 (11th lecture)
This lecture will be given by Rickard Jonsson
Kruskalization. The horizon. The singularity. Cosmic censorship.
|Feb 25 Wed||
10:00-12:00 room FL72 (12th lecture)
This lecture will be given by Hans Westman
The area of horizon theorem. Quantum effects. Hawking radiation.
|Mar 01 Mon||
15:15-17:45 room FL13 (13th lecture)
Astrophysical black holes. Other compact objects: neutron stars and white dwarfs. Stellar mass black holes. Supermassive black holes. Primodial black holes. Black hole in our Galaxy centre.
|Mar 03 Wed||
10:00-12:00 room FL72 (14th lecture)
Accretion disks around black holes. Shakura-Sunyeav, slim, thick disks. Adafs. A review of the most challenging problems in black hole astrophysics.
Other books and articles
PRISONS OF LIGHT - BLACK HOLES
by Kitty Ferguson,
Cambridge University Press, Cambridge 1996,
Short and informative, but for general public rather than for students of physics. The 1996 UK bestseller.
FLAT AND CURVED SPACE-TIMES
by G.F.R. Ellis and R.M. Williams,
Clarendon Press, Oxford, 1988
An excellent introduction to Einstein's special and general relativity writen for students of physics by one of the best specialists in the field.
BLACK HOLES AND TIME WARPS: EINSTEIN'S OUTRAGEOUS LEGACY
by K.S. Thorne,
W.W. Norton & Co., London, 1994
A very serious and detailed account of the black hole theory and the history of the black hole research. A fascinating reading! I highly recommand this book.
A BRIEF HISTORY OF TIME, FROM THE BIG BANG TO BLACK HOLES
by S.W. Hawking,
Bantaman Press, London, 1988
The mother of all black hole bestsellers. Short, easy to read. Enjoy, if you have not yet. Translated to most languagues.
THE NATURE OF SPACE AND TIME
by S.W. Hawking and R. Penrose,
Princeton University Press, Princeton, 1996
A popular, but very profound and original book. Not easy to read. Demanding but rewarding. I very much recommand it.
THE QUANTUM MECHANICS OF BLACK HOLES
by S.W. Hawking,
Scientific American, January 1977
A classic article that everybody should read.
ON TRAVELLING ROUND WITHOUT FEELING IT AND UNCURVING CURVES
by M.A. Abramowicz and J.-P. Lasota,
The American Journal of Physics, 54, 936, (1986),
THE WALL OF DEATH
by M.A. Abramowicz and E. Szuszkiewicz,
American Journal of Physics, 61, 982, (1993)
BLACK HOLES AND CENTRIFUGAL FORCE PARADOX
by M.A. Abramowicz,
Scientific American, March, (1993),
This article was translated into nine languages.
Forda bakom ljuset av en stjarna
by M.A. Abramowicz and G.Madejski,
Forskning och Framsteg, Maj-Juni, 4, (1995),
Den Deformerade Bilden
by M.A. Abramowicz, B.Jones, I.D. Novikov and V. Karas,
Forskning och Framsteg, Mars, 2, (1996)
by M.A. Abramowicz and M.J. Percival,
Forskning och Framsteg, January 1998,
(in Swedish) <
INTRODUCING EINSTEIN'S RELATIVITY
by R. d'Inverno,
Clarendon Press, Oxford, 1992
Not difficult to read, but deep and serious book. Very pedagogical. A good black hole section. I highly recommand this book.
by C.W. Misner, K.S. Thorne and J.A. Wheeler,
Freeman, San Francisco 1973
A monumental monograph, pleasent to read, very good treatment of black holes (but NO Hawking radiation that was discovered one year after the publication of the book)
BLACK HOLES THE MEMBRANE PARADIGM
by K.S. Thorne, R.H. Price, & D.A. MacDonald,
Yale University Press, New Haven, 1986
A bit more technical, and mostly about the black hole electrodynamics. Blandford-Znajek explained in details.