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.

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

Curvature Collineations for Gravitational pp Waves

1970 ◽  
Vol 11 (8) ◽  
pp. 2458-2462 ◽  
Author(s):  
P. C. Aichelburg
Keyword(s):  
Curvature Collineations

scholarly journals PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES

2007 ◽  
Vol 22 (11) ◽  
pp. 807-817 ◽  
Author(s):  
GHULAM SHABBIR ◽  
ABU BAKAR MEHMOOD
Keyword(s):  
Bianchi Type ◽  
Dimensional Vector ◽  
Direct Integration ◽  
Dimensional Vector Space ◽  
Infinite Dimensional ◽  
Type Iii ◽  
Riemann Matrix ◽  
Integration Techniques ◽  
Curvature Collineations ◽  
Proper Curvature

A study of Kantowski–Sachs and Bianchi type III spacetimes according to their proper curvature collineations is given by using the rank of the 6×6 Riemann matrix and direct integration techniques. It is shown that when the above spacetimes admit proper curvature collineations, they form an infinite dimensional vector space.

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

Curvature collineations

1972 ◽  
Vol 3 (4) ◽  
pp. 397-400 ◽  
Author(s):  
P. C. Aichelburg
Keyword(s):  
Curvature Collineations
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