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Unique characterization of the Bel-Robinson tensor
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2004 (English)In: Classical and quantum gravity, ISSN 0264-9381, Vol. 21, no 14, 3499-3503 p.Article in journal (Refereed) Published
Abstract [en]

We prove that a completely symmetric and trace-free rank-4 tensor is, up to sign, a Bel-Robinson-type tensor, i.e., the superenergy tensor of a tensor with the same algebraic symmetries as the Weyl tensor, if and only if it satisfies a certain quadratic identity. This may be seen as the first Rainich theory result for rank-4 tensors.

Place, publisher, year, edition, pages
2004. Vol. 21, no 14, 3499-3503 p.
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URN: urn:nbn:se:liu:diva-22452DOI: 10.1088/0264-9381/21/14/012Local ID: 1675OAI: diva2:242765
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-12

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Bergqvist, Göran
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The Institute of TechnologyApplied Mathematics
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