**Graduate Course, May 2003 - May 2004**

__Aim__: To give a wide knowledge of modern general
relativity

__Examples of topics__ that may be covered:

Explicit solutions of Einstein’s field equations

Symmetries

Variational formulations

Causal structures

Singularity theorems

Initial value problems

Cosmological models

Asymptotic flatness, energy and mass

Spinors and complex methods

Tetrad formalism and spin coefficients

Black hole spacetimes

Gravitational waves

Software for differential geometry and relativity

__Prerequisites__: A basic course in general relativity
and/or
differential geometry

__Literature__: The basic text will be Wald: *General
Relativity*.
Extra material will be distributed.

__Examination__: Active participation, hand-in
problems and written/oral presentations

__Points__: 5-10 depending on which parts of the course that are
followed. The first 5 points may be taken as the undergraduate course NMAD14.

__Schedule__:

Part 1, Basic topics (May - Dec. 2003)

Chapter 2 in Wald (Manifolds and tensors):

Thursday 15/5, 17.15-19 in Beurling
seminar room

Tuesday 20/5, 17.15-19 in Beurling seminar room

Chapter 3 in Wald (Curvature):

Thursday 18/9, 13.15-15 in Kompakta
Rummet

Thursday 25/9, 17.15-19 in Kompakta Rummet

Chapter 4 in Wald (Einstein's equations):

Monday 6/10, 13.15-15 in Determinanten

Wednesday 8/10, 15.15-17 in Kompakta Rummet

Chapter 5 in Wald (Cosmology):

Thursday 16/10, 10.15-12 in Kompakta
Rummet

Thursday 30/10, 10.15-12 in Kompakta Rummet

Chapter 6 in Wald, chapters 18-19 in d'Inverno (Schwarzschild and Kerr spacetimes):

Thursday 6/11,
13.15-15 in Kompakta Rummet

Thursday 13/11,
13.15-15 in Kompakta Rummet

Thursday 20/11,
13.15-15 in Determinanten

Part 2, Advanced topics (Jan. - May 2004)

__Course leaders__: Fredrik
Andersson, Göran
Bergqvist, Brian
Edgar and Magnus
Herberthson