{
  "id": "1201.0049",
  "version": "v1",
  "published": "2011-12-30T01:57:55.000Z",
  "updated": "2011-12-30T01:57:55.000Z",
  "title": "Rough solutions of Einstein vacuum equations in CMCSH gauge",
  "authors": [
    "Qian Wang"
  ],
  "categories": [
    "math.AP",
    "gr-qc",
    "math.DG"
  ],
  "abstract": "In this paper, we consider very rough solutions to Cauchy problem for the Einstein vacuum equations in CMC spacial harmonic gauge, and obtain the local well-posedness result in $H^s, s>2$. The novelty of our approach lies in that, without resorting to the standard paradifferential regularization over the rough, Einstein metric $\\bg$, we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation $\\Box_\\bg \\phi=0$ directly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-30T01:57:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "einstein vacuum equations",
      "rough solutions",
      "cmcsh gauge",
      "cmc spacial harmonic gauge",
      "geometric wave equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2015-z"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1083242,
      "adsabs": "2012arXiv1201.0049W"
    }
  }
}