{
  "id": "2104.13809",
  "version": "v1",
  "published": "2021-04-28T14:57:28.000Z",
  "updated": "2021-04-28T14:57:28.000Z",
  "title": "Price's law for spin fields on a Schwarzschild background",
  "authors": [
    "Siyuan Ma",
    "Lin Zhang"
  ],
  "comment": "60 pages, 4 figures, 1 table",
  "categories": [
    "math.AP",
    "gr-qc"
  ],
  "abstract": "In this work, we give a proof of the globally sharp asymptotic profiles for the spin-$\\sfrak$ fields on a Schwarzschild background, including the scalar field $(\\sfrak=0)$, the Maxwell field $(\\sfrak=\\pm 1)$ and the linearized gravity $(\\sfrak=\\pm 2)$. This confirms the conjectured Price's law in the physics literature which predicts the sharp estimates of the spin $s=\\pm \\sfrak$ components towards the future null infinity as well as in a compact region. The asymptotics are derived via a unified, detailed analysis of the Teukolsky master equation which is satisfied by all these components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-28T14:57:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q75",
      "58K55",
      "58J45",
      "83C50",
      "83C60"
    ],
    "keywords": [
      "schwarzschild background",
      "spin fields",
      "teukolsky master equation",
      "globally sharp asymptotic profiles",
      "scalar field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}