{
  "id": "1304.0014",
  "version": "v5",
  "published": "2013-03-29T20:09:01.000Z",
  "updated": "2014-02-19T15:36:05.000Z",
  "title": "ADM reduction of Einstein action and black hole entropy",
  "authors": [
    "I. Y. Park"
  ],
  "comment": "27 pages, 1 figure, reduction procedure improved and expanded (details in Appendix A), ref added",
  "categories": [
    "hep-th"
  ],
  "abstract": "We reduce the 4D Einstein-Hilbert action to a constant-radius hypersurface of foliation. The resulting theory is a scalar theory defined on a 3D hypersurface of the original black hole background, and has an exponential potential. Once the the hypersurface is located at the Schwarzschild radius, the 3D theory is effectively reduced to a 2D Liouville type theory. We compute {the entropy associated with the hypersurface intrinsic degrees of freedom}, and show that its leading order reproduces the Bekenstein-Hawking area law. The subleading terms come in logarithm/inverse powers of the area.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-02-19T15:36:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "black hole entropy",
      "einstein action",
      "adm reduction",
      "original black hole background",
      "2d liouville type theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1002/prop.201400056",
      "journal": "Fortschritte der Physik",
      "year": 2014,
      "month": "Nov",
      "volume": 62,
      "number": "11-12",
      "pages": 950
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1226012,
      "adsabs": "2014ForPh..62..950P"
    }
  }
}