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Free keywords:
General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
Abstract:
We reanalyze gravitational waves from a binary-neutron-star merger GW170817
using a numerical-relativity (NR) calibrated waveform model, the
TF2+_KyotoTidal model. By imposing a uniform prior on the binary tidal
deformability $\tilde{\Lambda}$ the symmetric $90\%$ credible interval of
$\tilde{\Lambda}$ is estimated to be $481^{+436}_{-359}$ ($402^{+465}_{-279}$)
for the case of $f_\mathrm{max}=1000~\mathrm{Hz}$ ($2048~\mathrm{Hz}$), where
$f_\mathrm{max}$ is the maximum frequency in the analysis. We also reanalyze
the event with other waveform models: two post-Newtonian waveform models
(TF2$\_$PNTidal and TF2+$\_$PNTidal), the TF2+$\_$NRTidal model that is another
NR calibrated waveform model used in the LIGO-Virgo analysis, and its upgrade,
the TF2+$\_$NRTidalv2 model. While estimates of parameters other than
$\tilde{\Lambda}$ are broadly consistent among different waveform models, our
results indicate that there is a difference in estimates of $\tilde{\Lambda}$
among three NR calibrated waveform models. The difference in the peak values of
posterior probability density functions of $\tilde{\Lambda}$ between the NR
calibrated waveform models: the TF2+$\_$KyotoTidal and TF2+$\_$NRTidalv2 models
for $f_\mathrm{max}=1000~\mathrm{Hz}$ is about 40 and is much smaller than the
width of $90\%$ credible interval, which is about 700. The systematic error for
the NR calibrated waveform models will be significant to measure
$\tilde{\Lambda}$ in the case of GW170817-like signal for the planned third
generation detectors's sensitivities.
