{
  "id": "1303.4377",
  "version": "v3",
  "published": "2013-03-18T19:45:23.000Z",
  "updated": "2014-02-11T15:38:38.000Z",
  "title": "Hertz potentials and asymptotic properties of massless fields",
  "authors": [
    "Lars Andersson",
    "Thomas Bäckdahl",
    "Jérémie Joudioux"
  ],
  "comment": "Regularity assumptions corrected. Orthogonality condition eliminated",
  "doi": "10.1007/s00220-014-2078-x",
  "categories": [
    "math.AP",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we analyze Hertz potentials for free massless spin-s fields on the Minkowski spacetime, with data in weighted Sobolev spaces. We prove existence and pointwise estimates for the Hertz potentials using a weighted estimate for the wave equation. This is then applied to give weighted estimates for the solutions of the spin-s field equations, for arbitrary half-integer s. In particular, the peeling properties of the free massless spin-s fields are analyzed for initial data in weighted Sobolev spaces with arbitrary, non-integer weights.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-11T15:38:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L45",
      "83C30",
      "83C60"
    ],
    "keywords": [
      "asymptotic properties",
      "massless fields",
      "free massless spin-s fields",
      "weighted sobolev spaces",
      "weighted estimate"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Oct",
      "volume": 331,
      "number": 2,
      "pages": 755
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1224248,
      "adsabs": "2014CMaPh.331..755A"
    }
  }
}