Proper projective symmetry in special non-static plane symmetric Lorentzian manifolds

被引:7
|
作者
Shabbir, Ghulam [1 ]
Ramzan, M. [1 ]
机构
[1] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Khyber Pukhtoon, Pakistan
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2012年 / 127卷 / 10期
关键词
2ND-ORDER DIFFERENTIAL-EQUATIONS; SPACE-TIMES; VECTOR-FIELDS; TRANSFORMATIONS; COLLINEATIONS; CURVATURE; HOLONOMY; SYSTEMS;
D O I
10.1140/epjp/i2012-12130-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper a study on proper projective symmetry in special non-static plane symmetric space-times is given by using real eigenvalues and eigenbivectors of the Riemann tensor, direct integration and algebraic techniques. It is shown that when the above space-times admit proper projective collineations they become a very special class of spacelike or timelike version of the FRW k = 0 model.
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页码:1 / 6
页数:6
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