Open this publication in new window or tab >>2003 (English)In: Classical and Quantum Gravity, ISSN 0264-9381, Vol. 20, no 13, p. 2663-2668Article in journal (Refereed) Published
Abstract [en]
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.
National Category
Mathematics
Identifiers
urn:nbn:se:liu:diva-12678 (URN)10.1088/0264-9381/20/13/313 (DOI)
2007-10-242007-10-242009-04-28