Classification of spherically symmetric static space–times by their curvature collineations

1997 ◽  
Vol 38 (7) ◽  
pp. 3639-3649 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Asghar Qadir ◽  
M. Shahan Ahmed ◽  
Mohammad Asghar
Keyword(s):  
Spherically Symmetric ◽  
Curvature Collineations ◽  
Static Space

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

2013 ◽  
Vol 52 (10) ◽  
pp. 3534-3542 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
A. G. Johnpillai ◽  
A. H. Kara ◽  
F. M. Mahomed ◽  
F. D. Zaman
Keyword(s):  
Spherically Symmetric ◽  
Noether Symmetries ◽  
Symmetric Spacetimes ◽  
Spherically Symmetric Spacetimes ◽  
Static Spherically Symmetric Spacetimes

scholarly journals PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

2008 ◽  
Vol 23 (05) ◽  
pp. 749-759 ◽  
Author(s):  
GHULAM SHABBIR ◽  
M. RAMZAN
Keyword(s):  
Symmetric Space ◽  
Vector Fields ◽  
Killing Vector ◽  
Spherically Symmetric ◽  
Killing Vector Fields ◽  
Infinite Dimensional ◽  
Riemann Matrix ◽  
Integration Techniques ◽  
Curvature Collineations ◽  
Proper Curvature

A study of nonstatic spherically symmetric space–times according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. Studying proper curvature collineations in each case of the above space–times it is shown that when the above space–times admit proper curvature collineations, they turn out to be static spherically symmetric and form an infinite dimensional vector space. In the nonstatic cases curvature collineations are just Killing vector fields.

The classification of spherically symmetric space-times

1995 ◽  
Vol 110 (3) ◽  
pp. 317-334 ◽  
Author(s):  
A. Qadir ◽  
M. Ziad
Keyword(s):  
Symmetric Space ◽  
Spherically Symmetric

Spherically-symmetric static space-times with minimally coupled scalar field

2010 ◽  
Author(s):  
I. A. Siutosou ◽  
L. M. Tomilchik ◽  
Remo Ruffini ◽  
Gregory Vereshchagin
Keyword(s):  
Scalar Field ◽  
Spherically Symmetric ◽  
Static Space
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