{
  "id": "hep-th/0703034",
  "version": "v2",
  "published": "2007-03-05T08:56:06.000Z",
  "updated": "2007-03-30T08:02:24.000Z",
  "title": "D=4 Einstein gravity from higher D CS and BI gravity and an alternative to dimensional reduction",
  "authors": [
    "Horatiu Nastase"
  ],
  "comment": "16 pages, latex, no figures; references added",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "An alternative to usual dimensional reduction for gravity is analyzed, in the vielbein-spin connection formulation. Usual 4d Einstein gravity plus a topological term (the \"Born-Infeld\" Lagrangian for gravity), is shown to be obtained by a generalized dimensional reduction from 5d Chern-Simons gravity. Chern-Simons gravity in d=2n+1 is dimensionally reduced to CS gravity in d=2n-1 via a mechanism similar to descent equations. The consistency of the dimensional reduction in both cases is analyzed. The dimensional reduction of d=2n+2 Born-Infeld gravity to d=2n BI gravity, as well as d=2n BI gravity to d=2n-1 CS gravity is hard to achieve. Thus 4d gravity (plus a topological term) can be embedded into d=2n+1 CS gravity, including 11d CS, whose supersymmetric version could possibly be related to usual 11d supergravity. This raises the hope that maybe 4d quantum Einstein gravity could be embedded in a well defined quantum theory, similar to Witten's treatment of 3d quantum Einstein gravity as a CS theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-30T08:02:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional reduction",
      "bi gravity",
      "cs gravity",
      "usual 4d einstein gravity plus",
      "3d quantum einstein gravity"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 745772,
      "adsabs": "2007hep.th....3034N"
    }
  }
}