Spherically symmetric static space‐times which admit stationary Killing tensors of rank two

1974 ◽  
Vol 15 (6) ◽  
pp. 816-823 ◽  
Author(s):  
I. Hauser ◽  
R. J. Malhiot
Keyword(s):  
Spherically Symmetric ◽  
Killing Tensors ◽  
Static Space

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

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

scholarly journals The 2m ≤ r property of spherically symmetric static space-times

1996 ◽  
Vol 218 (3-6) ◽  
pp. 147-150 ◽  
Author(s):  
Marc Mars ◽  
M.Mercè Martín-Prats ◽  
JoséM.M. Senovilla
Keyword(s):  
Spherically Symmetric ◽  
Static Space

scholarly journals MATTER INHERITANCE SYMMETRIES OF SPHERICALLY SYMMETRIC STATIC SPACE–TIMES

2006 ◽  
Vol 21 (12) ◽  
pp. 2645-2657 ◽  
Author(s):  
M. SHARIF
Keyword(s):  
Energy Momentum Tensor ◽  
Complete Classification ◽  
Momentum Tensor ◽  
Conformal Killing ◽  
Spherically Symmetric ◽  
Metric Tensor ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Conformal Killing Vectors ◽  
Static Space

In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static space–times by their matter inheritance symmetries. It is shown that when the energy–momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inheriting vectors even for the degenerate case. The nondegenerate case provides finite dimensional matter inheriting symmetries. We obtain different constraints on the energy–momentum tensor in each case. It is interesting to note that if the inheriting factor vanishes, matter inheriting collineations reduce to be matter collineations already available in the literature. This idea of matter inheritance collineations turn out to be the same as homotheties and conformal Killing vectors are for the metric tensor.

PROPER PROJECTIVE SYMMETRY IN SPHERICALLY SYMMETRIC STATIC SPACE–TIMES

2005 ◽  
Vol 14 (08) ◽  
pp. 1451-1463 ◽  
Author(s):  
GHULAM SHABBIR ◽  
M. AMER QURESHI
Keyword(s):  
Special Class ◽  
Vector Fields ◽  
Space Time ◽  
Spherically Symmetric ◽  
Direct Integration ◽  
Integration Techniques ◽  
Projective Vector ◽  
Static Space

A study of proper projective symmetry in spherically symmetric static space–times is given by using algebraic and direct integration techniques. It is shown that a special class of the above space–time admits proper projective vector fields.

Dualities and geometrical invariants for static and spherically symmetric spacetimes

2016 ◽  
Vol 25 (09) ◽  
pp. 1641007
Author(s):  
Paola Terezinha Seidel ◽  
Luís Antonio Cabral
Keyword(s):  
General Class ◽  
Hamiltonian Formalism ◽  
Spherically Symmetric ◽  
Conserved Quantities ◽  
Singularity Structure ◽  
Killing Tensors ◽  
Symmetric Spacetimes ◽  
Killing Equation ◽  
Spherically Symmetric Spacetimes ◽  
Spacetime Metric

In this work, we consider spinless particles in curved spacetime and symmetries related to extended isometries. We search for solutions of a generalized Killing equation whose structure entails a general class of Killing tensors. The conserved quantities along particle’s geodesic are associated with a dual description of the spacetime metric. In the Hamiltonian formalism, some conserved quantities generate a dual description of the metric. The Killing tensors belonging to the conserved objects imply in a nontrivial class of dual metrics even for a Schwarzschild metric in the original spacetime. From these metrics, we construct geometrical invariants for classes of dual spacetimes to explore their singularity structure. A nontrivial singularity behavior is obtained in the dual sector.

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