{
  "id": "math-ph/0401028",
  "version": "v2",
  "published": "2004-01-13T21:57:51.000Z",
  "updated": "2004-04-06T00:33:23.000Z",
  "title": "Energy-momentum conservation in pre-metric electrodynamics with magnetic charges",
  "authors": [
    "Gerald Kaiser"
  ],
  "comment": "8 pages, 1 fugure",
  "journal": "J.Phys. A37 (2004) 7163-7168",
  "doi": "10.1088/0305-4470/37/28/007",
  "categories": [
    "math-ph",
    "hep-th",
    "math.DG",
    "math.MP",
    "physics.optics"
  ],
  "abstract": "A necessary and sufficient condition for energy-momentum conservation is proved within a topological, pre-metric approach to classical electrodynamics including magnetic as well as electric charges. The extended Lorentz force, consisting of mutual actions by F=(E, B) on the electric current and G=(H, D) on the magnetic current, can be derived from an energy-momentum \"potential\" if and only if the constitutive relation G=G(F) satisfies a certain vanishing condition. The electric-magnetic reciprocity introduced by Hehl and Obukhov is seen to define a complex structure on the tensor product of 2-form pairs (F,G) which is independent of but consistent with the Hodge star operator defined by any Lorentzian metric. Contrary to a recent claim in the literature, it does not define a complex structure on the space of 2-forms itself.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-06T00:33:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy-momentum conservation",
      "pre-metric electrodynamics",
      "magnetic charges",
      "complex structure",
      "hodge star operator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 642805
    }
  }
}