{
  "id": "1402.6142",
  "version": "v3",
  "published": "2014-02-25T11:51:39.000Z",
  "updated": "2015-09-20T11:00:07.000Z",
  "title": "Revision of the brick wall method for calculating the black hole thermodynamic quantities",
  "authors": [
    "F. Lenz",
    "K. Ohta",
    "K. Yazaki"
  ],
  "comment": "Emphasis on the exact numerical and approximate analytical evaluations of the thermodynamic quantities in the brick wall model, the vast conflict with the \"standard\" approximate procedure and applications beyond Rindler space-time",
  "journal": "Physical Review D 92, 064018 (2015)",
  "doi": "10.1103/PhysRevD.92.064018",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "Within the framework of the \"brick wall model\", a novel method is developed to compute the contributions of a scalar field to the thermodynamic quantities of black holes. The relations between (transverse) momenta and frequencies in Rindler space are determined numerically with high accuracy and analytically with an accuracy of better than 10 % and are compared with the corresponding quantities in Minkowski space. In conflict with earlier results, the thermodynamic properties of black holes turn out to be those of a low temperature system. The resulting discrepancy for partition function and entropy by two orders of magnitude is analyzed in detail. In the final part we carry out the analogous studies for scalar fields in de Sitter space and thereby confirm that our method applies also to the important case of spherically symmetric spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-20T06:15:17.000Z",
      "title": "Dispersion relations and entropy of scalar fields in Rindler and de Sitter spaces",
      "abstract": "Properties of scalar fields in Rindler and de Sitter spaces are the subject of this work. Using the \"brick wall model\" the dispersion relations are determined and the remarkable properties common to both spaces as well as their differences are discussed. Equipped with these tools the horizon induced thermodynamics is revisited and shown to be dominated by a single mode propagating perpendicular to the horizon. Explicit expressions for the partition function, entropy and heat capacity for massless and massive fields are presented.",
      "comment": "typos corrected, 1 reference added",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-09-20T11:00:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.70.Dy",
      "04.62.+v"
    ],
    "keywords": [
      "scalar fields",
      "sitter spaces",
      "dispersion relations",
      "brick wall model",
      "single mode propagating perpendicular"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1282476,
      "adsabs": "2014arXiv1402.6142L"
    }
  }
}