SPATIALLY AFFINE MOTIONS IN RELATIVITY

被引:9
作者
BEL, L [1 ]
LLOSA, J [1 ]
机构
[1] UNIV BARCELONA,DEPT FIS FONAMENTAL,E-08028 BARCELONA,SPAIN
关键词
D O I
10.1088/0264-9381/12/8/013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Aiming to avoid the limitations that the Herglotz-Noether theorem imposes on the existence of rigid motions, as defined by Born's rigidity condition, we propose an extension of the latter, that we call spatial affinities. We then analyse these motions in Minkowski spacetime and obtain a sort of extension of the Herglotz-Noether theorem: although the space affinity condition is weaker than Born's rigidity, it does not allow for congruences of worldlines with arbitrary translational and rotational motion on one of these worldlines.
引用
收藏
页码:1949 / 1967
页数:19
相关论文
共 20 条
[1]  
AGUIRREGABIRIA JM, 1992, RECENT DEV GRAVITATI, P61
[2]  
[Anonymous], 1973, GRAVITATION
[3]  
BEL L, 1995, RELATIVITY GENERAL E
[4]  
BEL LI, 1994, J PHYS SOC JPN, V63, P11
[5]  
Born M, 1909, PHYS Z, V10, P814
[6]  
CATTANEO C, 1969, ANN MAT PUR APPL, V48, P361
[7]  
CHOQUETBRUHAT Y, 1987, ANAL MANIFOLDS PHYSI, P306
[8]  
Einstein A, 1916, ANN PHYS-BERLIN, V49, P769
[9]  
Fermi E., 1922, ATTI ACCAD NAZ LIN, V31, P21
[10]  
Herglotz G, 1910, ANN PHYS-BERLIN, V31, P393