HOMOTHETY GROUPS IN SPACE-TIME

被引：31
|
作者：
HALL, GS
STEELE, JD
机构：
[1] Department of Mathematical Sciences, University of Aberdeen, Edward Wright Building, Aberdeen, AB9 2TY, Dunbar Street
来源：
GENERAL RELATIVITY AND GRAVITATION | 1990年 / 22卷 / 04期
关键词：
D O I：
10.1007/BF00756152
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
This paper investigates space-times which admit an r-dimensional Lie algebra of homothetic vector fields at least one of which is proer homothetic. The situation is resolved completely if r ≥ 6 and some general results are given when r ≤ 5. Some applications to the study of affine vector fields in space-times are also given and the maximum dimension of this latter algebra is computed and corrects an earlier error. © 1990 Plenum Publishing Corporation.
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页码：457 / 468
页数：12
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