{
  "id": "1303.5893",
  "version": "v2",
  "published": "2013-03-23T23:41:26.000Z",
  "updated": "2013-09-18T01:58:15.000Z",
  "title": "Stability of the massive graviton around a BTZ black hole in three dimensions",
  "authors": [
    "Taeyoon Moon",
    "Yun Soo Myung"
  ],
  "comment": "18 pages, title changed, version to appear in GERG",
  "doi": "10.1007/s10714-013-1600-3",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We investigate the massive graviton stability of the BTZ black hole obtained from three dimensional massive gravities which are classified into the parity-even and parity-odd gravity theories. In the parity-even gravity theory, we perform the $s$-mode stability analysis by using the BTZ black string perturbations, which gives two Schr\\\"odinger equations with frequency-dependent potentials. The $s$-mode stability is consistent with the generalized Breitenlohner-Freedman bound for spin-2 field. It seems that for the parity-odd massive gravity theory, the BTZ black hole is stable when the imaginary part of quasinormal frequencies of massive graviton is positive. However, this condition is not consistent with the $s$-mode stability based on the second-order equation obtained after squaring the first-order equation. Finally we explore the black hole stability connection between the parity-odd and parity-even massive gravity theories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-18T01:58:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.70.Bw"
    ],
    "keywords": [
      "btz black hole",
      "massive graviton",
      "mode stability",
      "black hole stability connection",
      "dimensions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "General Relativity and Gravitation",
      "year": 2013,
      "month": "Dec",
      "volume": 45,
      "number": 12,
      "pages": 2493
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1225259,
      "adsabs": "2013GReGr..45.2493M"
    }
  }
}