{
  "id": "math/0603676",
  "version": "v1",
  "published": "2006-03-29T06:22:16.000Z",
  "updated": "2006-03-29T06:22:16.000Z",
  "title": "Some extensions of the Einstein-Dirac equation",
  "authors": [
    "Eui Chul Kim"
  ],
  "comment": "21pages",
  "journal": "J.Geom.Phys. 56 (2006) 2573-2591",
  "doi": "10.1016/j.geomphys.2006.01.008",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced. For one distinguished value of the parameter, the resulting Euler-Lagrange equations provide a new type of Einstein-Dirac coupling. We establish a special method for constructing global smooth solutions of a newly derived Einstein-Dirac system called the {\\it CL-Einstein-Dirac equation of type II} (see Definition 3.1).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-29T06:22:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C27",
      "83C05"
    ],
    "keywords": [
      "dirac operator",
      "constructing global smooth solutions",
      "newly derived einstein-dirac system",
      "cl-einstein-dirac equation",
      "standard functional"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 713507
    }
  }
}