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On the structure of the new electromagnetic conservation laws
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2004 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 21, no 4Article in journal (Refereed) Published
Abstract [en]

New electromagnetic conservation laws have recently been proposed: in the absence of electromagnetic currents, the trace of the Chevreton superenergy tensor, Hab is divergence free in four-dimensional (a) Einstein spacetimes for test fields, and (b) Einstein-Maxwell spacetimes. Subsequently it has been pointed out, in analogy with flat spaces, that for Ricci-flat spacetimes the trace of the Chevreton superenergy tensor Hab can be rearranged in the form of a generalized wave operator □L acting on the energy-momentum tensor Tab of the test fields, i.e., H ab = □Ltab/2. In this letter we show, for Einstein-Maxwell spacetimes in the full nonlinear theory, that, although, the trace of the Chevreton superenergy tensor Hab can again be rearranged in the form of a generalized wave operator □G acting on the electromagnetic energy-momentum tensor, in this case the result is also crucially dependent on Einstein's equations, hence we argue that the divergence-free property of the tensor Hab = □GT ab/2 has significant independent content beyond that of the divergence-free property of Tab.

Place, publisher, year, edition, pages
2004. Vol. 21, no 4
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-22984Local ID: 2358OAI: oai:DiVA.org:liu-22984DiVA: diva2:243297
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2017-12-13

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http://www.iop.org/EJ/abstract/-search=6970890.1/0264-9381/21/4/L04

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Edgar, Brian

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