{
  "id": "2107.07156",
  "version": "v1",
  "published": "2021-07-15T07:03:38.000Z",
  "updated": "2021-07-15T07:03:38.000Z",
  "title": "On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems",
  "authors": [
    "Felix Finster",
    "Albert Much",
    "Kyriakos Papadopoulos"
  ],
  "comment": "Invited contribution to the Springer Volume: Mathematical Analysis in interdisciplinary Research",
  "categories": [
    "math.DG",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This Chapter is an up-to-date account of results on globally hyperbolic spacetimes, and serves as a multitool; we start the exposition of results from a foundational level, where the main tools are order-theory and general topology, we continue with results of a more geometric nature, and we finally reach results that are connected to the most recent advances in theoretical physics. In each case, we list a number of open questions and we finally introduce a conjecture, on sliced spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-15T07:03:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open problems",
      "global hyperbolicity",
      "up-to-date account",
      "foundational level",
      "open questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}