Conference on Mathematical Relativity

The Canberra Conference on Mathematical Relativity was the highlight of a special program at the CMA which ran from June - August 1988. With over 40 people taking part and 27 talks packed into three days, the conference was a very stimulating and exhausting experience for all concerned. This volume contains reports on many of the talks presented and some contributed survey papers, and it is hoped that it will provide a good introduction to topics of current and future interest in mathematical relativity.

I would like to thank the Director of the CMA, Professor Neil Trudinger for the support and assistance of the CMA in making this meeting possible. I would finally like to thank the staff at the CMA: Marilyn Gray, as always, effortlessly dealt with every organisational detail, and Dorothy Nash, Jillian Smith and Joyce Heinz handled a mass of indecipherable manuscripts with their usual aplomb and skill.

Contents

Chapter Page number
1 - Axisymmetric asymptotically flat radiative spacetimes with another symmetry: the general definition and comments (pdf 857.31 KB)
Jirí Bicak
1
2 - On the energy of the gravitational field (pdf 1.86 MB)
Poitr Chruschiel
9
3 - On radiative space-times (pdf 2.08 MB)
Helmut Friedrich
34
4 - Gravitation with Gauss Bonnet terms (pdf 1.3 MB)
Yvonne Choquet-Bruhat
53
5 - Momenta and reduction for general relativity II: the level sets (pdf 1.96 MB)
Lars Andersson
73
6 - The shape of infinity (pdf 1.18 MB)
Richard P.A.C. Newman
89
7 - Space-time splitting theorems (pdf 1.85 MB)
Gregory J. Galloway
101
8 - Regularity of spacelike hypersurfaces (pdf 459.91 KB)
Steven G. Harris
120
9 - Describing spacetimes by their curvature (pdf 2.24 MB)
Alan D. Rendall
125
10 - The Yamabe theorem and general relativity (pdf 1.77 MB)
Niall O. Murchadha
137
11 - The reduction problem for Einstein's equations (pdf 892.15 KB)
Vincent Moncrief
168
12 - A survey of the Weyl metrics (pdf 1.93 MB)
Susan M. Scott
175
13 - A general theorem on gravitational metrics in prolate spheroidal coordinates (pdf 429.1 KB)
Roy P. Kerr
196
14 - Kerr-Schild spacetimes revisited (pdf 663.43 KB)
Colin B.G. McIntosh
201
15 - Unitary spinor methods in general relativity (pdf 1.09 MB)
Zoltán Perjés
207
16 - Inhomogeneities in a Friedman universe (pdf 612.58 KB)
Gerald E. Tauber
222
17 - New Kaluza-Klein theory (pdf 401.59 KB)
Wang Mian
232
18 - The motion of membranes in space-time (pdf 527.97 KB)
Robin W. Tucker
238
19 - Some open problems in mathematical relativity (pdf 3.06 MB)
Robert Bartnik
244