{
  "id": "math/0604265",
  "version": "v2",
  "published": "2006-04-12T01:23:25.000Z",
  "updated": "2014-01-19T18:42:56.000Z",
  "title": "An Invitation to Lorentzian Geometry",
  "authors": [
    "Olaf Müller",
    "Miguel Sánchez"
  ],
  "comment": "This new version extends and updates widely the previous one, with new topics and around the the double of pages and references. 34 pages, Latex",
  "journal": "Jahresbericht der Deutschen Mathematiker-Vereinigung (2013): 1-31",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "The intention of this article is to give a flavour of some global problems in General Relativity. We cover a variety of topics, some of them related to the fundamental concept of 'Cauchy hypersurfaces': (1) structure of globally hyperbolic spacetimes, (2) the relativistic initial value problem, (3) constant mean curvature surfaces, (4) singularity theorems, (5) cosmic censorship and Penrose inequality, (6) spinors and holonomy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-19T18:42:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C50"
    ],
    "keywords": [
      "lorentzian geometry",
      "invitation",
      "constant mean curvature surfaces",
      "relativistic initial value problem",
      "general relativity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 714530,
      "adsabs": "2006math......4265M"
    }
  }
}