{
  "id": "gr-qc/0404112",
  "version": "v2",
  "published": "2004-04-27T17:03:27.000Z",
  "updated": "2004-04-28T10:14:37.000Z",
  "title": "The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology",
  "authors": [
    "Claus Gerhardt"
  ],
  "comment": "9 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/rw.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcgrw.html, v2: typos corrected",
  "journal": "Methods Appl.Anal. 13 (2006) 19-28",
  "categories": [
    "gr-qc",
    "hep-th",
    "math.DG"
  ],
  "abstract": "We consider the inverse mean curvature flow in Robertson-Walker spacetimes that satisfy the Einstein equations and have a big crunch singularity and prove that under natural conditions the rescaled inverse mean curvature flow provides a smooth transition from big crunch to big bang. We also construct an example showing that in general the transition flow is only of class $C^3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-28T10:14:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "robertson-walker spaces",
      "application",
      "rescaled inverse mean curvature flow",
      "big crunch singularity",
      "natural conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 649128,
      "adsabs": "2004gr.qc.....4112G"
    }
  }
}