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Extracting equation of state parameters from black hole-neutron star mergers. I. Nonspinning black holes | | Benjamin D. Lackey
; Koutarou Kyutoku
; Masaru Shibata
; Patrick R. Brady
; John L. Friedman
; | | Date: |
15 Sep 2011 | | 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. | | Source: | arXiv, 1109.3402 | | Services: | Forum | Review | PDF | Favorites | |
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