{
  "id": "hep-th/9806111",
  "version": "v1",
  "published": "1998-06-15T01:04:07.000Z",
  "updated": "1998-06-15T01:04:07.000Z",
  "title": "The Problem of Time in the Quantum Theory of Black Holes",
  "authors": [
    "Takayuki Hori"
  ],
  "comment": "9 pages,LaTeX, no figures",
  "journal": "Prog.Theor.Phys.100:191-198,1998",
  "doi": "10.1143/PTP.100.191",
  "categories": [
    "hep-th"
  ],
  "abstract": "We discuss the problem of time in spherically symmetric pure Einstein gravity with the cosmological term by using an exact solution to the Wheeler-DeWitt equation. A positive definite inner product is defined, based on the momentum constraint rather than the hamiltonian constraint. A natural notion of time is introduced via the Heisenberg equation. This notion enables one to reproduce the time-time component of the classical metric. Non-Hermiticity of the hamiltonian is essential in the definition of time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-15T01:04:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "black holes",
      "quantum theory",
      "spherically symmetric pure einstein gravity",
      "positive definite inner product",
      "exact solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 471858
    }
  }
}