scholarly journals Comments on matter collineations of plane symmetric, cylindrically symmetric, and spherically symmetric space–times

2004 ◽  
Vol 45 (11) ◽  
pp. 4191-4192 ◽  
Author(s):  
Asghar Qadir ◽  
K. Saifullah
Keyword(s):  
Symmetric Space ◽  
Spherically Symmetric ◽  
Plane Symmetric ◽  
Matter Collineations ◽  
Cylindrically Symmetric

scholarly journals ON ENERGY DISTRIBUTION OF TWO SPACE–TIMES WITH PLANAR AND CYLINDRICAL SYMMETRIES

2009 ◽  
Vol 24 (04) ◽  
pp. 789-797 ◽  
Author(s):  
SAEED MIRSHEKARI ◽  
AMIR M. ABBASSI
Keyword(s):  
Energy Distribution ◽  
Maxwell Equations ◽  
Spherically Symmetric ◽  
Plane Symmetric ◽  
Cylindrically Symmetric ◽  
Symmetric Metrics ◽  
Static Plane

Considering encouraging Virbhadra results about energy distribution of nonstatic spherically symmetric metrics in the Kerr–Schild class, it would be interesting to study some space–times with other symmetries. Using Møller and Einstein energy–momentum complexes in static plane-symmetric and cylindrically symmetric solutions to Einstein–Maxwell equations in 3+1 dimensions, energy (due to matter and fields including gravity) distribution is studied. Energy expressions are obtained finite and well-defined. Our results support the Cooperstock hypothesis about localized energy.

ISOMETRY HORIZONS IN SPHERICALLY SYMMETRIC SPACE–TIMES

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1263-1271
Author(s):  
J. SZENTHE
Keyword(s):  
Symmetric Space ◽  
Spherically Symmetric ◽  
Isometric Action ◽  
Event Horizons ◽  
Killing Horizons

Some event horizons in space–times that are invariant under an isometric action, considered first by Carter, are called isometry horizons, especially Killing horizons. In this paper, isometry horizons in spherically symmetric space–times are considered. It is shown that these isometry horizons are all Killing horizons.

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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