In this chapter we shall describe the spaces of maximal globally hyperbolic (Hausdorff) spaces-times for which the groups $S0(3) \times U(l), S0(3)$ (two-dimensional principal orbits) and $U(l) \times U(l) \times U(l)$ act by isometries on some compact, connected and orientable Cauchy surface. We start by proving the well known result, that symmetries of Cauchy data lead to symmetries of the space-time:
Published: 1 January 1991
First available in Project Euclid: 18 November 2014
Rights: Copyright © 1991, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.