S Brian Edgar 2004 Class. Quantum Grav. 21 L21 doi:10.1088/0264-9381/21/4/L04
On the structure of the new electromagnetic conservation laws
FREE ARTICLES Brian Edgar
Show affiliationsLETTER TO THE EDITOR
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., Hab = 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 = GTab/2 has significant independent content beyond that of the divergence-free property of Tab.
- PACS
-
03.50.De Classical electromagnetism, Maxwell equations
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- MSC
-
83C22 Einstein-Maxwell equations
83C40 Gravitational energy and conservation laws; groups of motions
- Subjects
- Dates
-
Issue 4 (21 February 2004)
Received 18 November 2003
Published 14 January 2004
-
On the structure of the new electromagnetic conservation laws
S Brian Edgar 2004 Class. Quantum Grav. 21 L21
-
Iodine-stabilized He-Ne Lasers at λ = 633 nm of a Compact Construction
F Petrů et al 1992 Metrologia 29 301
-
Measurement reliability of highly variable physiological responses to experimentally-manipulated gas fractions
John Terblanche et al 2004 Physiol. Meas. 25 1189
-
Nanometre gaps in gold wires are formed by thermal migration
Ganesh K Ramachandran et al 2005 Nanotechnology 16 1294
-
Imaging with terahertz radiation
Wai Lam Chan et al 2007 Rep. Prog. Phys. 70 1325
-
The state evolution formulation of teleportation for continuous variables
Junxiang Zhang et al 2001 Europhys. Lett. 56 478
-
Characterization of a pneumatic differential pressure transfer standard
Nita Dilawar et al 2003 Metrologia 40 74
-
Grain boundary Josephson studies in BiSrCaCuO microbridges
Davinder Kaur and A K Gupta 2002 J. Phys. D: Appl. Phys. 35 729
-
The birth of the blues: how physics underlies music
J M Gibson 2009 Rep. Prog. Phys. 72 076001
-
Low-energy positron interactions with atoms and molecules
C M Surko et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 R57
Users also read
What's this?Related review articles
What's this?- Loop quantum cosmology: a status report
- Tunnelling methods and Hawking's radiation: achievements and prospects
- Quantitative approaches to information recovery from black holes