{
  "id": "hep-th/9804204",
  "version": "v2",
  "published": "1998-04-30T16:27:45.000Z",
  "updated": "1998-09-11T14:16:21.000Z",
  "title": "The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $σ$ Models",
  "authors": [
    "H. W. Braden",
    "V. Varela"
  ],
  "comment": "24 pages LaTex, 1 Figure, revised text for publication",
  "journal": "Phys.Rev.D58:124020,1998",
  "doi": "10.1103/PhysRevD.58.124020",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\\sigma$ model (EYMD-$\\sigma$) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is flat. These are precisely the static metrics for which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the problem of obtaining axially symmetric solutions for the gauge group SU(2).",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-09-11T14:16:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge group su",
      "static spacetime",
      "einstein equations",
      "static metrics",
      "obtaining axially symmetric solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 469909
    }
  }
}