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
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
相关论文
共 19 条
[1]  
ALEXEEVSKI D, 1985, ANN GLOB ANAL GEOM, V3, P59
[2]   PROPER HOMOTHETIC MAPS AND FIXED-POINTS [J].
BEEM, JK .
LETTERS IN MATHEMATICAL PHYSICS, 1978, 2 (04) :317-320
[3]  
BILYALOV RF, 1964, SOV PHYS, V8, P878
[4]  
Clark RS., 1970, DIFFERENTIABLE MANIF
[5]   ENERGY-MOMENTUM TENSORS IN LOCALLY ISOTROPIC SPACE-TIMES [J].
CRADE, RF ;
HALL, GS .
PHYSICS LETTERS A, 1979, 75 (1-2) :17-19
[6]   EINSTEIN-SPACES AND HOMOTHETIC-MOTIONS .1. [J].
HALFORD, WD ;
KERR, RP .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (01) :120-128
[7]   SINGULARITIES AND HOMOTHETY GROUPS IN SPACETIME [J].
HALL, GS .
CLASSICAL AND QUANTUM GRAVITY, 1988, 5 (05) :L77-L80
[8]   AFFINE COLLINEATIONS IN SPACE-TIME [J].
HALL, GS ;
DACOSTA, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (11) :2465-2472
[9]   CONNECTIONS AND SYMMETRIES IN SPACETIME [J].
HALL, GS .
GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (04) :399-406
[10]   HOMOTHETIC TRANSFORMATIONS WITH FIXED-POINTS IN SPACETIME [J].
HALL, GS .
GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (07) :671-681