{
  "id": "2006.16230",
  "version": "v1",
  "published": "2020-06-29T17:53:19.000Z",
  "updated": "2020-06-29T17:53:19.000Z",
  "title": "Constraint Algebra in Bigravity",
  "authors": [
    "Vladimir O. Soloviev"
  ],
  "comment": "33 pages, 4 tables",
  "categories": [
    "gr-qc",
    "hep-th"
  ],
  "abstract": "The constraint algebra is derived in the 2nd order tetrad Hamiltonian formalism of the bigravity. This is done by a straightforward calculation without involving any insights, implicit functions, and Dirac brackets. The tetrad approach is the only way to present the bigravity action as a linear functional of lapses and shifts, and the Hassan-Rosen transform (characterized as ``complicated redefinition of the shift variable'' according to the authors) appears here not as an ansatz but as a fixing of a Lagrange multiplier. A comparison of this approach with the others is provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-29T17:53:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83D05"
    ],
    "keywords": [
      "constraint algebra",
      "2nd order tetrad hamiltonian formalism",
      "lagrange multiplier",
      "dirac brackets",
      "tetrad approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}