{
  "id": "1111.2679",
  "version": "v2",
  "published": "2011-11-11T08:15:27.000Z",
  "updated": "2011-12-07T11:13:21.000Z",
  "title": "Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction",
  "authors": [
    "Kuo-Wei Lee",
    "Yng-Ing Lee"
  ],
  "comment": "32 pages, 10 figures",
  "categories": [
    "math.DG",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We solve spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior near the coordinate singularity r = 2M. Furthermore, we join SS-CMC hypersurfaces in the Kruskal extension to obtain complete ones and discuss the smooth properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-07T11:13:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C15",
      "83C05"
    ],
    "keywords": [
      "spacelike spherically symmetric cmc hypersurfaces",
      "schwarzschild spacetimes",
      "symmetric constant mean curvature",
      "spherically symmetric constant mean",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 946647,
      "adsabs": "2011arXiv1111.2679L"
    }
  }
}