{
  "id": "1509.05762",
  "version": "v1",
  "published": "2015-09-18T19:57:00.000Z",
  "updated": "2015-09-18T19:57:00.000Z",
  "title": "BV-BFV approach to General Relativity, Einstein-Hilbert action",
  "authors": [
    "Alberto S. Cattaneo",
    "Michele Schiavina"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.MP",
    "math.SG"
  ],
  "abstract": "The present paper shows that General Relativity in the ADM formalism admits a BV-BFV formulation in the sense of Cattaneo, Mnev and Reshetikhin. More precisely, for any $d+1\\not=2$ (pseudo-)Riemannian manifold $M$ with spacelike or timelike boundary components, the BV theory on the bulk induces a compatible BFV theory on the boundary. As a byproduct, the usual canonical formulation of General Relativity is recovered in a straightforward way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-18T19:57:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C47",
      "81T70",
      "70S05"
    ],
    "keywords": [
      "general relativity",
      "einstein-hilbert action",
      "bv-bfv approach",
      "adm formalism admits",
      "riemannian manifold"
    ],
    "publication": {
      "doi": "10.1063/1.4941410"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1393987
    }
  }
}