Spherically symmetric space–times with constant curvature scalar

2001 ◽  
Vol 42 (4) ◽  
pp. 1837-1859 ◽  
Author(s):  
Hubert Goenner ◽  
Peter Havas
Keyword(s):  
Symmetric Space ◽  
Constant Curvature ◽  
Spherically Symmetric ◽  
Curvature Scalar

Spherically symmetric space–times with vanishing curvature scalar

1980 ◽  
Vol 21 (5) ◽  
pp. 1159-1167 ◽  
Author(s):  
Hubert Goenner ◽  
Peter Havas
Keyword(s):  
Symmetric Space ◽  
Spherically Symmetric ◽  
Curvature Scalar

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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