G Bergqvist and P Lankinen 2004 Class. Quantum Grav. 21 3499 doi:10.1088/0264-9381/21/14/012
G Bergqvist1 and P Lankinen2
Show affiliationsWe 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.
04.20.Cv Fundamental problems and general formalism
04.20.Gz Spacetime topology, causal structure, spinor structure
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 14 (21 July 2004)
Received 13 May 2004
Published 23 June 2004
G Bergqvist and P Lankinen 2004 Class. Quantum Grav. 21 3499
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