Covariant Irreducible Parametrization of Electromagnetic Fields in Arbitrary Spacetime

Details Covariant Irreducible Parametrization of Electromagnetic Fields in Arbitrary Spacetime Covariant Irreducible Parametrization of Electromagnetic Fields in Arbitrary Spacetime

2005-08-18

arxiv.org/abs/physics/0508124v2

J. Math. Phys. 47, 012901 (2006)

Physics

Classical Physics

11 pages, no figures, Will appear in J. Math. Phys., January (2006)

Scientific paper

10.1063/1.2162107

We present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and metric tensors using the symmetry group SL(2,C). For the special case of a flat space-time metric the components are shown to correspond to the scalar invariants of the electromagnetic field, the energy-momentum-stress tensor and in addition, three new tensors expressing physical observables of rank two and four, respectively. We make a physical interpretation of one of the new rank two tensors as describing a classical intrinsic spin of the electromagnetic field.

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