{
  "id": "1507.07447",
  "version": "v1",
  "published": "2015-07-27T15:22:27.000Z",
  "updated": "2015-07-27T15:22:27.000Z",
  "title": "Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime",
  "authors": [
    "Kuo-Wei Lee",
    "Yng-Ing Lee"
  ],
  "comment": "28 pages, 3 figures. This paper is submitted and accepted in Annales Henri Poincar\\'e",
  "categories": [
    "math.DG",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and \\'{O} Murchadha in their 2003 paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-27T15:22:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C15",
      "83C05"
    ],
    "keywords": [
      "spacelike spherically symmetric cmc foliation",
      "extended schwarzschild spacetime",
      "symmetric constant mean curvature",
      "spherically symmetric constant mean",
      "spacelike spherically symmetric constant"
    ],
    "publication": {
      "doi": "10.1007/s00023-015-0432-y"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150707447L",
      "inspire": 1385098
    }
  }
}