{
  "id": "1501.00616",
  "version": "v1",
  "published": "2015-01-04T00:55:34.000Z",
  "updated": "2015-01-04T00:55:34.000Z",
  "title": "Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System",
  "authors": [
    "Lars Andersson",
    "Nishanth Gudapati",
    "Jeremie Szeftel"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the equivariant 2+1 dimensional Einstein-wave map system and show that if the target satisfies the so called Grillakis condition, then global existence holds. In view of the fact that the 3+1 vacuum Einstein equations with a spacelike translational Killing field reduce to a 2+1 dimensional Einstein-wave map system with target the hyperbolic plane, which in particular satisfies the Grillakis condition, this work proves global existence for the equivariant class of such spacetimes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-04T00:55:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional equivariant einstein-wave map system",
      "global regularity",
      "dimensional einstein-wave map system",
      "translational killing field reduce"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150100616A"
    }
  }
}