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New electromagnetic conservation laws

Bergqvist, Göran (author)
Linköpings universitet,Tillämpad matematik,Tekniska högskolan
Eriksson, Ingemar (author)
Linköpings universitet,Tillämpad matematik,Tekniska högskolan
Senovilla, J. M. M. (author)
Departamento de Física Teórica, Universidad del País Vasco, Bilbao, Spain
 (creator_code:org_t)
2003-05-29
2003
English.
In: Classical and Quantum Gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 20:13, s. 2663-2668
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

MATHEMATICS
MATEMATIK

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