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arXiv 1509.08522astro-ph.HEgr-qc
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从双星中子星并合后阶段观测引力波

Observing Gravitational Waves From The Post-Merger Phase Of Binary Neutron Star Coalescence

James Alexander Clark, Andreas Bauswein, Nikolaos Stergioulas, Deirdre Shoemaker

摘要:

本文提出了一种有效的低维频域模板,用于分析双星中子星合并过程中恒星残骸的引力波信号。采用主成分分解方法对一组中子星合并的数值模拟结果进行了分析,得到了各种中子星状态方程和质量组态的波形的振幅谱和相位谱的正交基函数。我们回顾了双中子星合并中合并后期/合并后引力波发射的现象,并演示了如何理解合并期间和合并后的动力学导致构建一个通用的频谱。我们还提供了一个合并后的信号检测在未来的引力波探测器作为第三代仪器的科学案例的潜在贡献的前景进行了讨论。在我们的分析中得到的模板实现了$>90\%$匹配跨越各种各样的合并波形和应变灵敏度谱的电流和潜在的引力波探测器。Fisher矩阵分析产生了在将主要的合并后振荡频率$f_{\mathrm{peak}}$确定为$δf_{\mathrm{peak}} \sim 50$ Hz时的典型不确定性的初步估计。使用最近导出的$f_{\mathrm{peak}}$和中子星半径之间的相关性,这表明对基准中子星半径$\sim 220$ \,m的潜在约束。这种测量只可能用于附近($\sim 30$ Mpc)的先进LIGO源,但对于计划升级到先进LIGO和其他未来仪器变得更加可行,导致对高密度中子星状态方程的限制,这些状态方程独立于并合前螺旋引力波信号推断的状态方程。

英文摘要:

We present an effective, low-dimensionality frequency-domain template for the gravitational wave signal from the stellar remnants from binary neutron star coalescence. A principal component decomposition of a suite of numerical simulations of binary neutron star mergers is used to construct orthogonal basis functions for the amplitude and phase spectra of the waveforms for a variety of neutron star equations of state and binary mass configurations. We review the phenomenology of late merger / post-merger gravitational wave emission in binary neutron star coalescence and demonstrate how an understanding of the dynamics during and after the merger leads to the construction of a universal spectrum. We also provide a discussion of the prospects for detecting the post-merger signal in future gravitational wave detectors as a potential contribution to the science case for third generation instruments. The template derived in our analysis achieves $>90\%$ match across a wide variety of merger waveforms and strain sensitivity spectra for current and potential gravitational wave detectors. A Fisher matrix analysis yields a preliminary estimate of the typical uncertainty in the determination of the dominant post-merger oscillation frequency $f_{\mathrm{peak}}$ as $δf_{\mathrm{peak}} \sim 50$Hz. Using recently derived correlations between $f_{\mathrm{peak}}$ and the neutron star radii, this suggests potential constraints on the radius of a fiducial neutron star of $\sim 220$\,m. Such measurements would only be possible for nearby ($\sim 30$Mpc) sources with advanced LIGO but become more feasible for planned upgrades to advanced LIGO and other future instruments, leading to constraints on the high density neutron star equation of state which are independent and complementary to those inferred from the pre-merger inspiral gravitational wave signal.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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