Conference on Mathematical Relativity

(Canberra, July, 1988)

Volume 19 in the Proceedings of the Centre for Mathematical Analysis

Preface

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.

Robert Bartnik
(Editor)

Contents

Preface	(i)
Axisymmetric asymptotically flat radiative spacetimes with another symmetry: the general definition and comments Jirí Bicak	1
On the energy of the gravitational field Poitr Chruschiel	9
On radiative space-times Helmut Friedrich	34
Gravitation with Gauss Bonnet terms Yvonne Choquet-Bruhat	53
Momenta and reduction for general relativity II: the level sets Lars Andersson	73
The shape of infinity Richard P.A.C. Newman	89
Space-time splitting theorems Gregory J. Galloway	101
Regularity of spacelike hypersurfaces Steven G. Harris	120
Describing spacetimes by their curvature Alan D. Rendall	125
The Yamabe theorem and general relativity Niall O. Murchadha	137
The reduction problem for Einstein's equations Vincent Moncrief	168
A survey of the Weyl metrics Susan M. Scott	175
A general theorem on gravitational metrics in prolate spheroidal coordinates Roy P. Kerr	196
Kerr-Schild spacetimes revisited Colin B.G. McIntosh	201
Unitary spinor methods in general relativity Zoltán Perjés	207
Inhomogeneities in a Friedman universe Gerald E. Tauber	222
New Kaluza-Klein theory Wang Mian	232
The motion of membranes in space-time Robin W. Tucker	238
Some open problems in mathematical relativity Robert Bartnik	244
Participants at conference	269