{
  "id": "0902.4039",
  "version": "v1",
  "published": "2009-02-23T23:35:35.000Z",
  "updated": "2009-02-23T23:35:35.000Z",
  "title": "Continuous frequency spectrum of the global hydromagnetic oscillations of a magnetically confined mountain on an accreting neutron star",
  "authors": [
    "M. Vigelius",
    "A. Melatos"
  ],
  "comment": "accepted by MNRAS",
  "doi": "10.1111/j.1365-2966.2009.14683.x",
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "We compute the continuous part of the ideal-magnetohydrodynamic (ideal-MHD) frequency spectrum of a polar mountain produced by magnetic burial on an accreting neutron star. Applying the formalism developed by Hellsten & Spies (1979), extended to include gravity, we solve the singular eigenvalue problem subject to line-tying boundary conditions. This spectrum divides into an Alfv\\'{e}n part and a cusp part. The eigenfunctions are chirped and anharmonic with an exponential envelope, and the eigenfrequencies cover the whole spectrum above a minimum $\\omega_\\mathrm{low}$. For equilibria with accreted mass $1.2 \\times 10^{-6} \\la M_a/M_\\odot \\la 1.7 \\times 10^{-4}$ and surface magnetic fields $10^{11} \\la B_\\ast/\\mathrm{G} \\la 10^{13}$, $\\omega_\\mathrm{low}$ is approximately independent of $B_\\ast$, and increases with $M_a$. The results are consistent with the Alfv\\'{e}n spectrum excited in numerical simulations with the \\textsc{zeus-mp} solver. The spectrum is modified substantially by the Coriolis force in neutron stars spinning faster than $\\sim 100$ Hz. The implications for gravitational wave searches for low-mass X-ray binaries are considered briefly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-23T23:35:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "accreting neutron star",
      "global hydromagnetic oscillations",
      "continuous frequency spectrum",
      "magnetically confined mountain",
      "singular eigenvalue problem subject"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Wiley-Blackwell",
      "journal": "Monthly Notices of the Royal Astronomical Society",
      "year": 2009,
      "month": "Jun",
      "volume": 395,
      "number": 4,
      "pages": 1963
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 814042,
      "adsabs": "2009MNRAS.395.1963V"
    }
  }
}