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arXiv 2205.01705gr-qcastro-ph.HE
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包含定向自旋中子星的并合双星的引力波中的$f$模印记

$f$-mode Imprints in Gravitational Waves from Coalescing Binaries involving Aligned Spinning Neutron Stars

Hao-Jui Kuan, Kostas D. Kokkotas

摘要:

在合并双星的中子星成员中,$f$模的激发加速了合并过程,从而在引力波形中引入了相移。强调潮汐相移对齐,旋转的恒星,我们提供了一个准确的,但经济的,方法来产生$f$模式参与,合并前波形使用现实的自旋调制$f$模式频率的一些可行的状态方程。我们发现,对于慢旋转的恒星,动力学潮汐的退相效应可以是唯一的,独立于地球观测系统的直接观测值(啁啾质量${\cal M}$,对称比$η$和相互潮汐变形${\tilde Λ}$),而这种普遍性逐渐失去增加自旋。对于具有快速旋转成员($\gtrsim800\text{ Hz}$)的双星,由于$f$模式引起的相移将超过合理信噪比($ρ=25$)和$\gtrsim400\text{ Hz}$截止频率下波形相位的不确定性。假设$10^3\text{ Hz}$和快($\gtrsim800\text{ Hz}$)成员的截止频率很高,已经发现了$\gtrsim100$ rads的显著相移。对于涉及快速旋转恒星(可能是GW 190814的次级)的系统,忽略波形模板中的$f$模效应会导致相关分析中相当大的系统误差。特别是,由于$f$ -模式的失相大于由$\sim5$,这可能会导致一个相当高估的潮汐变形,如果动力潮汐的贡献不占平衡潮汐所造成的。本文还讨论了$f$模激发引起伴随前兆耀斑的可能性.

英文摘要:

The excitation of $f$-mode in a neutron star member of coalescing binaries accelerates the merger course, and thereby introduces a phase shift in the gravitational waveform. Emphasising on the tidal phase shift by aligned, rotating stars, we provide an accurate, yet economical, method to generate $f$-mode-involved, pre-merger waveforms using realistic spin-modulated $f$-mode frequencies for some viable equations of state. We find for slow-rotating stars that the dephasing effects of the dynamical tides can be uniquely, EOS-independently determined by the direct observables (chirp mass ${\cal M}$, symmetric ratio $η$ and the mutual tidal deformability ${\tilde Λ}$), while this universality is gradually lost for increasing spin. For binaries with fast rotating members ($\gtrsim800\text{ Hz}$) the phase shift due to $f$-mode will exceed the uncertainty in the waveform phase at reasonable signal-to-noise ($ρ=25$) and cutoff frequency of $\gtrsim400\text{ Hz}$. Assuming a high cutoff frequency of $10^3\text{ Hz}$ and fast ($\gtrsim800\text{ Hz}$) members, a significant phase shift of $\gtrsim100$ rads has been found. For systems involving a rapidly-spinning star (potentially the secondary of GW190814), neglecting $f$-mode effect in the waveform templates can therefore lead to considerable systemic errors in the relevant analysis. In particular, the dephasing due to $f$-mode is larger than that caused by equilibrium tides by a factor of $\sim5$, which may lead to a considerably overestimated tidal deformability if dynamical tidal contribution is not accounted. The possibility of accompanying precursors flares due to $f$-mode excitation is also discussed.

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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