{
  "id": "1407.2268",
  "version": "v2",
  "published": "2014-07-08T20:47:40.000Z",
  "updated": "2014-08-25T05:29:48.000Z",
  "title": "Acoustic geometry through perturbation of mass accretion rate - axisymmetric flow in static spacetimes",
  "authors": [
    "Deepika B Ananda",
    "Sourav Bhattacharya",
    "Tapas K Das"
  ],
  "comment": "v2, 9 pp; thoroughly revised version, added discussions and references",
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "This is the second of our series of papers devoted to the study of the stability analysis of the stationary transonic integral solutions for accretion flow onto a static compact object, using the acoustic geometry. Precisely, we consider accretion of an axisymmetric, inviscid and irrotational fluid in a general static axisymmetric spacetime and study the perturbation of the mass accretion rate, and demonstrate the natural emergence of the general relativistic acoustic geometry. In other words, the astrophysical accretion process has a natural interpretation as an example of the acoustic analogue gravity phenomenon. We also discuss two explicit examples of the Schwarzschild and the Rindler spacetimes. For the later, in particular, we demonstrate that for smooth flow fileds there can be no sonic point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-08T20:47:40.000Z",
      "title": "Acoustic geometry through perturbation of accretion rate : II - radial flow in stationary axisymmetric spacetime",
      "abstract": "We introduce a novel perturbation scheme to study the stability properties of the stationary transonic integral solutions for low angular momentum axisymmetric accretion flow in a general stationary axisymmetric space time around non rotating black holes for generalized geometric configuration of infalling matter. We discuss the emergence of the relativistic acoustic geometry as a consequence of such stability analysis and establish the fact that the space time structure of such acoustic geometry is independent of the matter geometry as well as the perturbation scheme. The acoustic metric elements obtained by perturbing the velocity potential of the background fluid flow remains the same as of that obtained by perturbing the mass accretion rate.",
      "comment": "9 pages. No figure. arXiv admin note: substantial text overlap with arXiv:1406.4262",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-25T05:29:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mass accretion rate",
      "static spacetimes",
      "axisymmetric flow",
      "perturbation",
      "general relativistic acoustic geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1305398,
      "adsabs": "2014arXiv1407.2268A"
    }
  }
}