{
  "id": "gr-qc/9712063",
  "version": "v1",
  "published": "1997-12-15T18:52:04.000Z",
  "updated": "1997-12-15T18:52:04.000Z",
  "title": "Volume elements of spacetime and a quartet of scalar fields",
  "authors": [
    "Frank Gronwald",
    "Uwe Muench",
    "Alfredo Macías",
    "Friedrich W. Hehl"
  ],
  "comment": "7 pages RevTEX, submitted to Phys. Rev. D",
  "journal": "Phys.Rev. D58 (1998) 084021",
  "doi": "10.1103/PhysRevD.58.084021",
  "categories": [
    "gr-qc",
    "hep-th"
  ],
  "abstract": "Starting with a `bare' 4-dimensional differential manifold as a model of spacetime, we discuss the options one has for defining a volume element which can be used for physical theories. We show that one has to prescribe a scalar density \\sigma. Whereas conventionally \\sqrt{|\\det g_{ij}|} is used for that purpose, with g_{ij} as the components of the metric, we point out other possibilities, namely \\sigma as a `dilaton' field or as a derived quantity from either a linear connection or a quartet of scalar fields, as suggested by Guendelman and Kaganovich.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-12-15T18:52:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar fields",
      "volume element",
      "linear connection",
      "scalar density",
      "differential manifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 452356
    }
  }
}