{
  "id": "1401.0597",
  "version": "v2",
  "published": "2014-01-03T06:45:59.000Z",
  "updated": "2014-09-17T19:49:22.000Z",
  "title": "On the validity of the definition of angular momentum in general relativity",
  "authors": [
    "Po-Ning Chen",
    "Lan-Hsuan Huang",
    "Mu-Tao Wang",
    "Shing-Tung Yau"
  ],
  "comment": "References are updated, and typos and computational errors are corrected. Accepted by Ann. Henri Poincare",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "We exam the validity of the definition of the ADM angular momentum without the parity assumption. Explicit examples of asymptotically flat hypersurfaces in the Minkowski spacetime with zero ADM energy-momentum vector and finite non-zero angular momentum vector are presented. We also discuss the Beig-\\'O Murchadha-Regge-Teitelboim center of mass and study analogous examples in the Schwarzschild spacetime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-03T06:45:59.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-17T19:49:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general relativity",
      "finite non-zero angular momentum vector",
      "definition",
      "zero adm energy-momentum vector",
      "beig-o murchadha-regge-teitelboim center"
    ],
    "publication": {
      "doi": "10.1007/s00023-015-0402-4"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1275944,
      "adsabs": "2014arXiv1401.0597C"
    }
  }
}