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Killing tensors and conformai Killing tensors from conformal Killing vectors
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
Sch. of Eng. and Applied Science, Aston University, Birmingham B4 7ET, United Kingdom.
2003 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 20, no 11, 1929-1942 p.Article in journal (Refereed) Published
Abstract [en]

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 Killing tensors constructed from a single conformal Killing vector. A number of examples demonstrate that it is possible to construct a much larger class of reducible proper conformal Killing tensors and Killing tensors than permitted by the Koutras algorithms. In particular, by showing that all conformal Killing tensors are reducible in conformally flat spaces, we have a method of constructing all conformal Killing tensors, and hence all the Killing tensors (which will in general be irreducible) of conformally flat spaces using their conformal Killing vectors.

Place, publisher, year, edition, pages
2003. Vol. 20, no 11, 1929-1942 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46599DOI: 10.1088/0264-9381/20/11/301OAI: oai:DiVA.org:liu-46599DiVA: diva2:267495
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Rani, RaffaeleEdgar, S. Brian

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