{
  "id": "hep-th/0206202",
  "version": "v2",
  "published": "2002-06-21T17:41:43.000Z",
  "updated": "2002-07-23T16:06:14.000Z",
  "title": "Gravitational instability in higher dimensions",
  "authors": [
    "Gary Gibbons",
    "Sean A. Hartnoll"
  ],
  "comment": "1+43 pages. LaTeX. Slight rewording, typos fixed and stability of T^11 corrected",
  "journal": "Phys.Rev.D66:064024,2002",
  "doi": "10.1103/PhysRevD.66.064024",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We explore a classical instability of spacetimes of dimension $D>4$. Firstly, we consider static solutions: generalised black holes and brane world metrics. The dangerous mode is a tensor mode on an Einstein base manifold of dimension $D-2$. A criterion for instability is found for the generalised Schwarzschild, AdS-Schwarzschild and topological black hole spacetimes in terms of the Lichnerowicz spectrum on the base manifold. Secondly, we consider perturbations in time-dependent solutions: Generalised dS and AdS. Thirdly we show that, subject to the usual limitations of a linear analysis, any Ricci flat spacetime may be stabilised by embedding into a higher dimensional spacetime with cosmological constant. We apply our results to pure AdS black strings. Finally, we study the stability of higher dimensional ``bubbles of nothing''.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-07-23T16:06:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.20.-q",
      "04.70.-s",
      "04.50.+h"
    ],
    "keywords": [
      "higher dimensions",
      "gravitational instability",
      "pure ads black strings",
      "ricci flat spacetime",
      "einstein base manifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 588972
    }
  }
}