{
  "id": "gr-qc/0506052",
  "version": "v1",
  "published": "2005-06-09T01:14:29.000Z",
  "updated": "2005-06-09T01:14:29.000Z",
  "title": "Global spectral representations of black hole spacetimes in the complex plane",
  "authors": [
    "Maurice H. P. M. van Putten"
  ],
  "comment": "Based on an invited talk at the Int'l Conf. Theor. Physics, 11-16 April 2005, Lebedev Physical Institute, Moscow",
  "doi": "10.1073/pnas.0508406103",
  "categories": [
    "gr-qc",
    "hep-th"
  ],
  "abstract": "Binary black hole coalescence produces a finite burst of gravitational radiation which propagates towards quiescent infinity. These spacetimes are analytic about infinity and contain a dimensionless coupling constant $M/s$, where $M$ denotes the total mass-energy and $s$ an imaginary distance. This introduces globally convergent Fourier series on a complex radial coordinate, allowing spectral representation of black hole spacetimes in all three dimensions. We illustrate this representation theory on a Fourier-Legendre expansion of Boyer-Lindquist initial data and a scalar wave equation with signal recovery by Cauchy's integral formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-09T01:14:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "black hole spacetimes",
      "global spectral representations",
      "complex plane",
      "binary black hole coalescence produces",
      "boyer-lindquist initial data"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 684477
    }
  }
}