{
  "id": "2309.14682",
  "version": "v1",
  "published": "2023-09-26T05:25:37.000Z",
  "updated": "2023-09-26T05:25:37.000Z",
  "title": "Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions",
  "authors": [
    "V. V. Obukhov"
  ],
  "comment": "10 pages. Will be published in Journal of Mathematical Physics",
  "doi": "10.1063/5.0158054",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.MP"
  ],
  "abstract": "Metric components of potentials of admissible electromagnetic fields in spaces with simply transitive four-parameter motion group are found. The components of frame vectors corresponding to the components of the metric tensors found by Petrov are given. The results obtained complement the coordinate-free classification given by Magazev et al. Previously, admissible electromagnetic fields were found for the case when three- and four-parameter groups of motions act on hypersurfaces of spacetime. Thus, non-equivalent sets of potentials for all electromagnetic fields that admit three- and four-parameter groups of motions are known now.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-26T05:25:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C15",
      "83C20",
      "83C50"
    ],
    "keywords": [
      "simply transitive four-parameter groups",
      "charged test particle",
      "klein-gordon-fock equations",
      "transitive four-parameter motion group",
      "admissible electromagnetic fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}