منابع مشابه
Killing Tensors from Conformal Killing Vectors
Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...
متن کاملIrreducible Killing Tensors from Conformal Killing Vectors
S. Brian EDGAR †, Rafaelle RANI ‡ and Alan BARNES § † Department of Mathematics, Linköping University, Linköping, Sweden S581-83 E-mail: [email protected] ‡ Institute of Astronomy and Astrophysics, Department of Theoretical Astrophysics, University of Tübingen, D-72076 Tübingen, Germany E-mail: [email protected] § School of Engineering & Applied Science, Aston University, Birmingh...
متن کاملKilling Tensors and Conformal Killing Tensors from Conformal Killing Vectors
Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...
متن کاملGauge Theories on Sphere and Killing Vectors
We study manifestly O(n+1) covariant formulation of vector and antisymmetric tensor gauge theories by stereographically projecting these theories, defined in flat Euclidean space, onto the surface of a hypersphere. The gauge fields in the two descriptions are mapped by conformal Killing vectors while conformal Killing spinors are necessary for the matter fields, allowing for a very compact anal...
متن کاملTeleparallel Killing Vectors of Spherically Symmetric Spacetimes
In this paper, Killing vectors of spherically spacetimes have been evaluated in the context of teleparallel theory of gravitation. Further, we investigate the Killing vectors of the Friedmann metrics. It is found that for static spherically spacetimes the number of Killing vectors turn out to be seven while for the Friedmann models, we obtain six teleparallel Killing vectors. The results are th...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2007
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.76.041501