EINSTEIN-SPACES AND HOMOTHETIC-MOTIONS .1.

被引:16
作者
HALFORD, WD [1 ]
KERR, RP [1 ]
机构
[1] UNIV CANTERBURY,DEPT MATH,CHRISTCHURCH,NEW ZEALAND
关键词
D O I
10.1063/1.524335
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Algebraically special, nonflat vacuum Einstein spaces with an expanding and/or twisting geodesic principal null congruence are considered. These spaces are assumed to possess locally a homothetic symmetry as well as two or more Killing vectors. All metrics of such spaces are determined along with the form of the homothetic Killing vector admitted. All but one of the metrics are twist free. It is proved that two of the NUT metrics do not admit a homothetic motion. © 1980 American Institute of Physics.
引用
收藏
页码:120 / 128
页数:9
相关论文
共 30 条
[21]   HOMOTHETIC MOTIONS WITH NULL HOMOTHETIC BIVECTORS IN GENERAL RELATIVITY [J].
MCINTOSH, CBG .
GENERAL RELATIVITY AND GRAVITATION, 1976, 7 (02) :215-218
[22]   KILLING VECTORS IN EMPTY SPACE ALGEBRAICALLY SPECIAL METRICS .1. [J].
HELD, A .
GENERAL RELATIVITY AND GRAVITATION, 1976, 7 (02) :177-198
[23]   EMPTY-SPACE GENERALIZATION OF SCHWARZSCHILD METRIC [J].
NEWMAN, E ;
TAMBURINO, L ;
UNTI, T .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (07) :915-&
[24]  
ROBINSON I, 1969, J MATH MECH, V18, P881
[26]   GRAVITATIONAL WAVES IN GENERAL RELATIVITY .8. WAVES IN ASYMPTOTICALLY FLAT SPACE-TIME [J].
SACHS, RK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 270 (1340) :103-&
[27]  
TAUB AH, 1972, GEN RELAT GRAVIT, P135
[28]   YANGS GRAVITATIONAL-FIELD EQUATIONS [J].
THOMPSON, AH .
PHYSICAL REVIEW LETTERS, 1975, 34 (08) :507-508
[29]  
WINICOUR J, 1972, LECT NOTE PHYS, V14, P145
[30]  
Yano K., 1951, J INDIAN MATH SOC, V15, P105