{
  "id": "1109.3402",
  "version": "v1",
  "published": "2011-09-15T17:07:27.000Z",
  "updated": "2011-09-15T17:07:27.000Z",
  "title": "Extracting equation of state parameters from black hole-neutron star mergers. I. Nonspinning black holes",
  "authors": [
    "Benjamin D. Lackey",
    "Koutarou Kyutoku",
    "Masaru Shibata",
    "Patrick R. Brady",
    "John L. Friedman"
  ],
  "comment": "21 pages, 14 figures, submitted to PRD",
  "doi": "10.1103/PhysRevD.85.044061",
  "categories": [
    "astro-ph.HE",
    "gr-qc"
  ],
  "abstract": "The late inspiral, merger, and ringdown of a black hole-neutron star (BHNS) system can provide information about the neutron-star equation of state (EOS). Candidate EOSs can be approximated by a parametrized piecewise-polytropic EOS above nuclear density, matched to a fixed low-density EOS; and we report results from a large set of BHNS inspiral simulations that systematically vary two parameters. To within the accuracy of the simulations, we find that, apart from the neutron-star mass, a single physical parameter Lambda, describing its deformability, can be extracted from the late inspiral, merger, and ringdown waveform. This parameter is related to the radius, mass, and l=2 Love number, k_2, of the neutron star by Lambda = 2k_2 R^5/3M_{NS}^5, and it is the same parameter that determines the departure from point-particle dynamics during the early inspiral. Observations of gravitational waves from BHNS inspiral thus restrict the EOS to a surface of constant Lambda in the parameter space, thickened by the measurement error. Using various configurations of a single Advanced LIGO detector, we find that neutron stars are distinguishable from black holes of the same mass and that Lambda^{1/5} or equivalently R can be extracted to 10-40% accuracy from single events for mass ratios of Q=2 and 3 at a distance of 100 Mpc, while with the proposed Einstein Telescope, EOS parameters can be extracted to accuracy an order of magnitude better.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-15T17:07:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.30.Db"
    ],
    "keywords": [
      "black hole-neutron star mergers",
      "nonspinning black holes",
      "state parameters",
      "extracting equation",
      "late inspiral"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2012,
      "month": "Feb",
      "volume": 85,
      "number": 4,
      "pages": "044061"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 927493,
      "adsabs": "2012PhRvD..85d4061L"
    }
  }
}