{
  "id": "2405.14462",
  "version": "v1",
  "published": "2024-05-23T11:51:34.000Z",
  "updated": "2024-05-23T11:51:34.000Z",
  "title": "Fermat Principle and weak deflection angle from Lindstedt-Poincare method",
  "authors": [
    "Joanna Piwnik",
    "Joanna Gonera",
    "Piotr Kosinski"
  ],
  "comment": "20 pages",
  "categories": [
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Fermat principle is used for the analysis of light propagation in the metric of a black hole. It is shown how to apply the Lindstedt-Poincare method of solving perturbatively the nonlinear oscillations to the description of light trajectories in weak deflection regime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-23T11:51:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak deflection angle",
      "fermat principle",
      "lindstedt-poincare method",
      "weak deflection regime",
      "light propagation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}