{
  "id": "1107.0515",
  "version": "v3",
  "published": "2011-07-04T02:21:31.000Z",
  "updated": "2011-11-17T15:55:18.000Z",
  "title": "Violation of the first law of black hole thermodynamics in $f(T)$ gravity",
  "authors": [
    "Rong-Xin Miao",
    "Miao Li",
    "Yan-Gang Miao"
  ],
  "comment": "18 pages, no figure, version accepted for publication in JCAP",
  "journal": "JCAP11(2011)033",
  "categories": [
    "hep-th",
    "astro-ph.CO",
    "gr-qc"
  ],
  "abstract": "We prove that, in general, the first law of black hole thermodynamics, $\\delta Q=T\\delta S$, is violated in $f(T)$ gravity. As a result, it is possible that there exists entropy production, which implies that the black hole thermodynamics can be in non-equilibrium even in the static spacetime. This feature is very different from that of $f(R)$ or that of other higher derivative gravity theories. We find that the violation of first law results from the lack of local Lorentz invariance in $f(T)$ gravity. By investigating two examples, we note that $f\"(0)$ should be negative in order to avoid the naked singularities and superluminal motion of light. When $f\"(T)$ is small, the entropy of black holes in $f(T)$ gravity is approximatively equal to $\\frac{f'(T)}{4}A$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-17T15:55:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "black hole thermodynamics",
      "higher derivative gravity theories",
      "first law results",
      "local lorentz invariance",
      "superluminal motion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1475-7516/2011/11/033",
      "journal": "Journal of Cosmology and Astro-Particle Physics",
      "year": 2011,
      "month": "Nov",
      "volume": 2011,
      "number": 11,
      "pages": "033"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 916855,
      "adsabs": "2011JCAP...11..033M"
    }
  }
}