{
  "id": "1612.09304",
  "version": "v1",
  "published": "2016-12-29T21:00:34.000Z",
  "updated": "2016-12-29T21:00:34.000Z",
  "title": "Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime",
  "authors": [
    "Lars Anderson",
    "Pieter Blue",
    "Jérémie Joudioux"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-29T21:00:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q75"
    ],
    "keywords": [
      "hidden symmetries",
      "slowly rotating kerr spacetime",
      "relativistic vlasov equation",
      "integrated energy decay",
      "massless vlasov equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}