{
  "id": "2311.04725",
  "version": "v1",
  "published": "2023-11-08T14:51:09.000Z",
  "updated": "2023-11-08T14:51:09.000Z",
  "title": "Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions",
  "authors": [
    "V. V. Obukhov",
    "S. V. Chervon",
    "D. V. Kartashov"
  ],
  "comment": "15 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "All non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions $G_4(N)$. The potentials of the admissible electromagnetic fields admit the existence of the algebra of motion integrals of the Hamilton-Jacobi and Klein-Gordon-Fock equations which is isomorphic to the algebra of the group operators for the same group $G_4(N)$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-08T14:51:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H33",
      "83C50"
    ],
    "keywords": [
      "simply transitive four-parameter groups",
      "admissible electromagnetic fields",
      "maxwell equations",
      "admit simply transitive four-parameter",
      "manifolds admit simply transitive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}