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Unique characterization of the Bel-Robinson tensor

G. Bergqvist·P. Lankinen
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Abstract

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.

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G. Bergqvist, P. Lankinen. 2004-10-05. Unique characterization of the Bel-Robinson tensor. https://doi.org/10.1088/0264-9381%2F21%2F14%2F012

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