{
  "id": "1211.7305",
  "version": "v2",
  "published": "2012-11-30T16:34:57.000Z",
  "updated": "2013-04-26T13:11:09.000Z",
  "title": "A positive mass theorem in the Einstein-Gauss-Bonnet theory",
  "authors": [
    "Yuxin Ge",
    "Guofang Wang",
    "Jie Wu"
  ],
  "comment": "Withdrawn since main results were integrated into the new version of arXiv 1211.3645 as applications",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "As an interesting application of the Einstein-Gauss-Bonnet theory and our work on the Gauss-Bonnet-Chern mass (Ge, Wang, Wu), we obtain a positive mass theorem for asymptotically flat graphs in $\\R^{n+1}$ under a condition that $R+\\alpha L_2$ is non-negative, where $R$ is the scalar curvature, $\\alpha\\in\\R$ a constant and $L_2$ the second Gauss-Bonnet curvature. A Penrose type inequality is also obtained in the case $\\alpha>0$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-26T13:11:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive mass theorem",
      "einstein-gauss-bonnet theory",
      "penrose type inequality",
      "second gauss-bonnet curvature",
      "scalar curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1204983,
      "adsabs": "2012arXiv1211.7305G"
    }
  }
}