{
  "id": "1201.4545",
  "version": "v3",
  "published": "2012-01-22T09:47:57.000Z",
  "updated": "2013-03-31T19:58:58.000Z",
  "title": "A four-dimensional ΛCDM-type cosmological model induced from higher dimensions using a kinematical constraint",
  "authors": [
    "Ozgur Akarsu",
    "Tekin Dereli"
  ],
  "comment": "12 pages, 8 figures; matches the version published in General Relativity and Gravitation",
  "journal": "General Relativity and Gravitation 45 (2013) 1211-1226",
  "doi": "10.1007/s10714-013-1521-1",
  "categories": [
    "gr-qc",
    "astro-ph.CO"
  ],
  "abstract": "A class of cosmological solutions of higher dimensional Einstein field equations with the energy-momentum tensor of a homogeneous, isotropic fluid as the source are considered with an anisotropic metric that includes the direct sum of a 3-dimensional (physical, flat) external space metric and an n-dimensional (compact, flat) internal space metric. A simple kinematical constraint is postulated that correlates the expansion rates of the external and internal spaces in terms of a real parameter {\\lambda}. A specific solution for which both the external and internal spaces expand at different rates is given analytically for n=3. Assuming that the internal dimensions were at Planck length scales when the external space starts with a Big Bang (t=0), they expand only 1.49 times and stay at Planck length scales even in the present age of the universe (13.7 Gyr). The effective four dimensional universe would exhibit a behavior consistent with our current understanding of the observed universe. It would start in a stiff fluid dominated phase and evolve through radiation dominated and pressureless matter dominated phases, eventually going into a de Sitter phase at late times.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-31T19:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cosmological model",
      "kinematical constraint",
      "higher dimensions",
      "planck length scales",
      "internal space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "General Relativity and Gravitation",
      "year": 2013,
      "month": "Jun",
      "volume": 45,
      "number": 6,
      "pages": 1211
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1085497,
      "adsabs": "2013GReGr..45.1211A"
    }
  }
}