{
  "id": "gr-qc/0212065",
  "version": "v1",
  "published": "2002-12-15T17:44:51.000Z",
  "updated": "2002-12-15T17:44:51.000Z",
  "title": "Scalar fields in multidimensional gravity. No-hair and other no-go theorems",
  "authors": [
    "K. A. Bronnikov",
    "S. B. Fadeev",
    "A. V. Michtchenko"
  ],
  "comment": "10 pages, Latex-2e. Submitted to Gen. Rel. Grav",
  "journal": "Gen.Rel.Grav. 35 (2003) 505-525",
  "categories": [
    "gr-qc",
    "hep-th"
  ],
  "abstract": "Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are assumed to be Einstein spaces, not necessarily Ricci-flat, and the potential $V$ includes contributions from their curvatures. The following results generalize those known in four dimensions: (A) a no-hair theorem: in case $V\\geq 0$, an asymptotically flat black hole cannot have varying scalar fields or moduli fields outside the event horizon; (B) nonexistence of particlelike solutions in models with $V\\geq 0$; (C) nonexistence of wormholes under very general conditions; (D) a restriction on possible global causal structures (represented by Carter-Penrose diagrams). The list of structures in all models under consideration is the same as is known for vacuum with a cosmological constant in general relativity: Minkowski (or AdS), Schwarzschild, de Sitter and Schwarzschild--de Sitter, and horizons which bound a static region are always simple. The results are applicable to a wide range of Kaluza-Klein, supergravity and stringy models with multiple dilaton and moduli fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-15T17:44:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar fields",
      "multidimensional gravity",
      "no-go theorems",
      "containing multiple internal factor spaces",
      "space-times containing multiple internal factor"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1023/A:1022952314050",
      "journal": "General Relativity and Gravitation",
      "year": 2003,
      "month": "Apr",
      "volume": 35,
      "number": 4,
      "pages": 505
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 604651,
      "adsabs": "2003GReGr..35..505B"
    }
  }
}