{
  "id": "hep-th/0011176",
  "version": "v3",
  "published": "2000-11-20T16:43:52.000Z",
  "updated": "2001-01-29T16:30:12.000Z",
  "title": "Renormalized black hole entropy in anti-de Sitter space via the \"brick wall\" method",
  "authors": [
    "Elizabeth Winstanley"
  ],
  "comment": "Revtex, 16 pages, no figures. Minor changes. Version accepted for publication in Phys. Rev. D",
  "journal": "Phys.Rev. D63 (2001) 084013",
  "doi": "10.1103/PhysRevD.63.084013",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We consider the entropy of a quantum scalar field on a background black hole geometry in asymptotically anti-de Sitter space-time, using the ``brick wall'' approach. In anti-de Sitter space, the theory has no infra-red divergences, and all ultra-violet divergences can be absorbed into a renormalization of the coupling constants in the one-loop effective gravitational Lagrangian. We then calculate the finite renormalized entropy for the Schwarzschild-anti-de Sitter and extremal Reissner-Nordstrom-anti-de Sitter black holes, and show that, at least for large black holes, the entropy is entirely accounted for by the one-loop Lagrangian, apart possibly from terms proportional to the logarithm of the event horizon radius. For small black holes, there are indications that non-perturbative quantum gravity effects become important.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-01-29T16:30:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anti-de sitter space",
      "renormalized black hole entropy",
      "brick wall",
      "extremal reissner-nordstrom-anti-de sitter black holes",
      "background black hole geometry"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 537195
    }
  }
}