{
  "id": "0910.0810",
  "version": "v1",
  "published": "2009-10-05T17:38:18.000Z",
  "updated": "2009-10-05T17:38:18.000Z",
  "title": "On Lie Point Symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology",
  "authors": [
    "Paschalis G. Paschali",
    "Georgios C. Chrysostomou"
  ],
  "comment": "12 pages",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.MP"
  ],
  "abstract": "We study the Lie point symmetries of Einstein's equations for the Friedmann-Roberstson-Walker Cosmology. They form either a two - dimensional or a three - dimensional solvable group depending on the form of the self interacting potential. Using the invariants of the group we reduce the second order system of differential equations into a first order system. Writing the action in terms of the proper time we study the point symmetries and the variational symmetries of the resulting equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-05T17:38:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lie point symmetries",
      "einsteins equations",
      "friedmann-roberstson-walker cosmology",
      "second order system",
      "first order system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.0810P"
    }
  }
}