{
  "id": "1609.07447",
  "version": "v1",
  "published": "2016-09-23T17:47:19.000Z",
  "updated": "2016-09-23T17:47:19.000Z",
  "title": "Variational techniques in general relativity: A metric-affine approach to Kaluza's theory",
  "authors": [
    "Enrico Massa",
    "Stefano Vignolo"
  ],
  "journal": "Journal of Mathematical Physics 48, 022501 (2007)",
  "doi": "10.1063/1.2435087",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.MP"
  ],
  "abstract": "A new variational principle for General Relativity, based on an action functional $I\\/(\\Phi,\\nabla)\\/$ involving both the metric $\\Phi\\/$ and the connection $\\nabla\\/$ as independent, \\emph{unconstrained\\/} degrees of freedom is presented. The extremals of $I\\/$ are seen to be pairs $\\/(\\Phi,\\nabla)\\/$ in which $\\Phi\\/$ is a Ricci flat metric, and $\\nabla\\/$ is the associated Riemannian connection. An application to Kaluza's theory of interacting gravitational and electromagnetic fields is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-23T17:47:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general relativity",
      "kaluzas theory",
      "metric-affine approach",
      "variational techniques",
      "ricci flat metric"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}