New electromagnetic conservation laws
2003 (English)In: Classical and Quantum Gravity, ISSN 0264-9381 (print), 1361-6382 (online), Vol. 20, no 13, 2663-2668 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2003. Vol. 20, no 13, 2663-2668 p.
IdentifiersURN: urn:nbn:se:liu:diva-12678DOI: 10.1088/0264-9381/20/13/313OAI: oai:DiVA.org:liu-12678DiVA: diva2:16835