New electromagnetic conservation laws

Bergqvist, GöranLinköpings universitet,Tillämpad matematik,Tekniska högskolan (author)

The Chevreton superenergy tensor was introduced in 1964 as a counterpart, for electromagnetic fields, of the well-known Bel–Robinson tensor of the gravitational field. We here prove the unnoticed facts that, in the absence of electromagnetic currents, Chevreton's tensor (i) is completely symmetric, and (ii) has a trace-free divergence if the Einstein–Maxwell equations hold. It follows that the trace of the Chevreton tensor is a rank-2, symmetric, trace-free, conserved tensor, which is different from the energy–momentum tensor, and nonetheless can be constructed for any test Maxwell field or any Einstein–Maxwell spacetime.

Eriksson, IngemarLinköpings universitet,Tillämpad matematik,Tekniska högskolan(Swepub:liu)inger03 (author)
Senovilla, J. M. M.Departamento de Física Teórica, Universidad del País Vasco, Bilbao, Spain (author)
Linköpings universitetTillämpad matematik (creator_code:org_t)

In:Classical and Quantum Gravity: IOP Publishing20:13, s. 2663-26680264-93811361-6382

By the author/editor: Bergqvist, Göran; Eriksson, Ingema ...; Senovilla, J. M. ...

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