Structural equations for a special class of conformal killing tensors of arbitrary valence

2008 ◽  
Vol 62 (2) ◽  
pp. 241-254 ◽  
Author(s):  
M. Crampin
Keyword(s):  
Special Class ◽  
Structural Equations ◽  
Conformal Killing ◽  
Killing Tensors

scholarly journals Conformal killing tensors and covariant Hamiltonian dynamics

2014 ◽  
Vol 55 (12) ◽  
pp. 122702 ◽  
Author(s):  
M. Cariglia ◽  
G. W. Gibbons ◽  
J.-W. van Holten ◽  
P. A. Horvathy ◽  
P.-M. Zhang
Keyword(s):  
Hamiltonian Dynamics ◽  
Conformal Killing ◽  
Killing Tensors

HIGHER ORDER SYMMETRIES AND THE KOUTRAS ALGORITHM

2002 ◽  
Vol 11 (03) ◽  
pp. 337-351 ◽  
Author(s):  
G. AMERY ◽  
S. D. MAHARAJ
Keyword(s):  
Conformal Factor ◽  
Higher Order ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Killing Tensors ◽  
Conformal Killing Vectors

We investigate the form of Killing tensors, constructed from conformal Killing vectors of a given spacetime (M, g), by utilizing the Koutras algorithm. As an example we find irreducible Killing tensors in Robertson–Walker spacetimes. A number of theorems are given for the existence of Killing tensors in the conformally related spacetime [Formula: see text]. The form of the conformally related Killing tensors are explicitly determined. The conditions on the conformal factor Ω relating the two spacetimes (M, g) and [Formula: see text] are determined for the existence of the tensors. Also we briefly consider the role of recurrent vectors, inheriting conformal vectors and gradient conformal vectors in building Killing tensors.

scholarly journals Killing and conformal Killing tensors

2016 ◽  
Vol 106 ◽  
pp. 383-400 ◽  
Author(s):  
Konstantin Heil ◽  
Andrei Moroianu ◽  
Uwe Semmelmann
Keyword(s):  
Conformal Killing ◽  
Killing Tensors
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