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On the structure of...
On the structure of the new electromagnetic conservation laws
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- Edgar, Brian, 1945- (författare)
- Linköpings universitet,Tekniska högskolan,Tillämpad matematik
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(creator_code:org_t)
- 2004
- 2004
- Engelska.
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Ingår i: Classical and quantum gravity. - 0264-9381 .- 1361-6382. ; 21:4
- Relaterad länk:
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http://www.iop.org/E...
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visa fler...
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https://urn.kb.se/re...
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Abstract
Ämnesord
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- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- MATHEMATICS
- MATEMATIK
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