A note on proper curvature collineations in Bianchi type VIII and IX space-times

2010 ◽  
Vol 16 (1) ◽  
pp. 61-64 ◽  
Author(s):  
Ghulam Shabbir ◽  
Amjad Ali ◽  
M. Ramzan
Keyword(s):  
Bianchi Type ◽  
Type Viii ◽  
Viii And Ix ◽  
Curvature Collineations ◽  
Proper Curvature

Exact Bianchi-type VIII and IX models in the presence of zero-mass scalar fields

1992 ◽  
Vol 187 (1) ◽  
pp. 113-117 ◽  
Author(s):  
V. U. M. Rao ◽  
Y. V. S. S. Sanyasiraju
Keyword(s):  
Bianchi Type ◽  
Scalar Fields ◽  
Type Viii ◽  
Zero Mass ◽  
Viii And Ix

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.

Exact Bianchi-type VIII and IX models in the presence of the self-creation theory of cosmology

1992 ◽  
Vol 189 (1) ◽  
pp. 39-43 ◽  
Author(s):  
Y. V. S. S. Sanyasiraju ◽  
V. U. M. Rao
Keyword(s):  
Bianchi Type ◽  
The Self ◽  
Type Viii ◽  
Viii And Ix

Bianchi type-VIII and IX models in the Lyttleton-Bondi universe

1991 ◽  
Vol 179 (1) ◽  
pp. 163-167 ◽  
Author(s):  
K. Shanthi ◽  
V. U. M. Rao
Keyword(s):  
Bianchi Type ◽  
Type Viii ◽  
Viii And Ix

scholarly journals Letter: Self-Similar Bianchi Type VIII and IX Models

2003 ◽  
Vol 35 (11) ◽  
pp. 2051-2056 ◽  
Author(s):  
Pantelis S. Apostolopoulos ◽  
Michael Tsamparlis
Keyword(s):  
Bianchi Type ◽  
Type Viii ◽  
Viii And Ix ◽  
Self Similar

scholarly journals The late-time behaviour of vortic Bianchi type VIII universes

2006 ◽  
Vol 23 (9) ◽  
pp. 3017-3035 ◽  
Author(s):  
Sigbjørn Hervik ◽  
Woei Chet Lim
Keyword(s):  
Bianchi Type ◽  
Late Time ◽  
Time Behaviour ◽  
Type Viii

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.

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