{
  "id": "hep-th/0312029",
  "version": "v3",
  "published": "2003-12-02T16:21:04.000Z",
  "updated": "2003-12-14T15:03:18.000Z",
  "title": "Penrose Limits and Spacetime Singularities",
  "authors": [
    "Matthias Blau",
    "Monica Borunda",
    "Martin O'Loughlin",
    "George Papadopoulos"
  ],
  "comment": "9 pages, LaTeX2e; v2: additional references and cosmetic corrections",
  "journal": "Class.Quant.Grav.21:L43,2004",
  "doi": "10.1088/0264-9381/21/7/L02",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We give a covariant characterisation of the Penrose plane wave limit: the plane wave profile matrix $A(u)$ is the restriction of the null geodesic deviation matrix (curvature tensor) of the original spacetime metric to the null geodesic, evaluated in a comoving frame. We also consider the Penrose limits of spacetime singularities and show that for a large class of black hole, cosmological and null singularities (of Szekeres-Iyer ``power-law type''), including those of the FRW and Schwarzschild metrics, the result is a singular homogeneous plane wave with profile $A(u)\\sim u^{-2}$, the scale invariance of the latter reflecting the power-law behaviour of the singularities.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-12-14T15:03:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spacetime singularities",
      "penrose limits",
      "penrose plane wave limit",
      "null geodesic deviation matrix",
      "plane wave profile matrix"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 634406
    }
  }
}