{
  "id": "1303.4433",
  "version": "v1",
  "published": "2013-03-18T21:41:52.000Z",
  "updated": "2013-03-18T21:41:52.000Z",
  "title": "Hyperbolicity of Hamiltonian formulations in General Relativity",
  "authors": [
    "Ronny Richter",
    "David Hilditch"
  ],
  "comment": "Proceedings of the Spanish Relativity Meeting ERE 2010",
  "journal": "J. Phys.: Conf. Ser. 314 012102,2011",
  "doi": "10.1088/1742-6596/314/1/012102",
  "categories": [
    "gr-qc"
  ],
  "abstract": "Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful physical models and of numerical applications. To prove well-posedness of wave-type equations their level of hyperbolicity is an essential ingredient. We develop helpful tools and classify a large class of Hamiltonian versions of Einstein's equations with live gauge conditions with respect to their hyperbolicity. Finally we find a symmetric hyperbolic Hamiltonian formulation that allows for gauge conditions which are similar to the puncture gauge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-18T21:41:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general relativity",
      "hyperbolicity",
      "symmetric hyperbolic hamiltonian formulation",
      "essential property",
      "well-posedness"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics Conference Series",
      "year": 2011,
      "month": "Sep",
      "volume": 314,
      "number": 1,
      "pages": "012102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1224249,
      "adsabs": "2011JPhCS.314a2102R"
    }
  }
}