CURVATURE COLLINEATIONS OF SOME PLANE SYMMETRIC STATIC SPACETIMES

2005 ◽  
Author(s):  
A. H. BOKHARI ◽  
A. R. KASHIF ◽  
A. QADIR
Keyword(s):  
Plane Symmetric ◽  
Curvature Collineations

Classification of curvature collineations of plane symmetric static spacetimes

2000 ◽  
Vol 41 (4) ◽  
pp. 2167-2172 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Abdul R. Kashif ◽  
Asghar Qadir
Keyword(s):  
Plane Symmetric ◽  
Curvature Collineations

scholarly journals LIE SYMMETRIES OF THE ENERGY–MOMENTUM TENSOR FOR PLANE SYMMETRIC STATIC SPACETIMES

2005 ◽  
Vol 14 (05) ◽  
pp. 797-816 ◽  
Author(s):  
K. SAIFULLAH
Keyword(s):  
Lie Algebra ◽  
Explicit Form ◽  
Vector Fields ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The Other ◽  
Ricci Collineations ◽  
Plane Symmetric ◽  
Curvature Collineations ◽  
Paper Plane

Matter collineations (MCs) are the vector fields along which the energy–momentum tensor remains invariant under Lie transport. Invariance of the metric, the Ricci and the Riemann tensors have been studied extensively and the vectors along which these tensors remain invariant are called Killing vectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs), respectively. In this paper, plane symmetric static spacetimes have been studied for their MCs. Explicit form of MCs together with the Lie algebra admitted by them has been presented. Examples of spacetimes have been constructed for which MCs have been compared with their RCs and KVs. The comparison shows that neither of the sets of RCs and MCs contains the other, in general.

scholarly journals Killing and Noether Symmetries of Plane Symmetric Spacetime

2013 ◽  
Vol 52 (9) ◽  
pp. 3106-3117 ◽  
Author(s):  
M. Farasat Shamir ◽  
Adil Jhangeer ◽  
Akhlaq Ahmad Bhatti
Keyword(s):  
Noether Symmetries ◽  
Plane Symmetric ◽  
Symmetric Spacetime
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