Special conformal symmetries in general relativity |
| |
Authors: | G S Hall |
| |
Institution: | (1) Department of Mathematical Sciences, University of Aberdeen, Edward Wright Building, Dunbar Street, AB9 2TY Aberdeen, Great Britain |
| |
Abstract: | A geometrical discussion of special conformal vector fields in space-time is given. In particular, it is shown that if such a vector field is admitted, it is unique up to a constant scaling and the addition of a homothetic or a Killing vector field. In the case when the gradient of the conformal scalar associated with is non-null it is shown that other homothetic and affine symmetries are necessarily admitted by the space-time, that an intrinsic family of 2-dimensional flat submanifolds is determined in the space-time, that is, in general, hypersurface orthogonal and that the space-time, if non-flat, is necessarily (geodesically) incomplete. Other geometrical features of such space-times are also considered. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|