{
  "id": "1907.08178",
  "version": "v1",
  "published": "2019-07-18T17:39:10.000Z",
  "updated": "2019-07-18T17:39:10.000Z",
  "title": "Parameterized post-Newtonian limit of general teleparallel gravity theories",
  "authors": [
    "Ulbossyn Ualikhanova",
    "Manuel Hohmann"
  ],
  "comment": "LaTeX, 12 pages, no figures",
  "categories": [
    "gr-qc"
  ],
  "abstract": "We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is chosen to be sufficiently generic in order to include the $f(T)$ class of theories as well as new general relativity as subclasses. To derive its post-Newtonian limit, we first impose the Weitzenb\\\"ock gauge, and then introduce a post-Newtonian approximation of the tetrad field around a Minkowski background solution. Our results show that the class of theories we consider is fully conservative, with only the parameters $\\beta$ and $\\gamma$ potentially deviating from their general relativity values. In particular, we find that the post-Newtonian limit of any $f(T)$ theory is identical to that of general relativity, so that these theories cannot be distinguished by measurements of the post-Newtonian parameters alone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-18T17:39:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general teleparallel gravity theories",
      "parameterized post-newtonian limit",
      "general relativity values",
      "minkowski background solution",
      "parameters"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}