{
  "id": "1402.4317",
  "version": "v3",
  "published": "2014-02-18T12:57:48.000Z",
  "updated": "2015-01-18T16:04:19.000Z",
  "title": "On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass",
  "authors": [
    "Lucas C. Ambrozio"
  ],
  "comment": "19 pages. Revised version. To appear in Communications in Mathematical Physics",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we prove the Penrose inequality for metrics that are small perturbations of the Schwarzschild anti-de Sitter metrics of positive mass. We use the existence of a global foliation by weakly stable constant mean curvature spheres and the monotonicity of the Hawking mass.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-22T18:19:57.000Z",
      "title": "On perturbations of the Anti-de Sitter-Schwarzschild spaces of positive mass",
      "abstract": "In this paper we prove the Penrose inequality for metrics that are small perturbations of the Anti-de Sitter-Schwarzschild metrics of positive mass. We use the existence of a global foliation by weakly stable constant mean curvature spheres and the monotonicity of the Hawking mass.",
      "comment": "18 pages. Revised version. References added and corrected",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-01-18T16:04:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schwarzschild anti-de sitter spaces",
      "positive mass",
      "perturbations",
      "stable constant mean curvature spheres",
      "schwarzschild anti-de sitter metrics"
    ],
    "publication": {
      "doi": "10.1007/s00220-015-2360-6",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Jul",
      "volume": 337,
      "number": 2,
      "pages": 767
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.337..767A"
    }
  }
}