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arXiv 1609.05933gr-qcastro-ph.GAastro-ph.HE
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偏心轨道上致密双星的全波形模型

Complete waveform model for compact binaries on eccentric orbits

E. A. Huerta, Prayush Kumar, Bhanu Agarwal, Daniel George, Hsi-Yu Schive, Harald P. Pfeiffer, Roland Haas, Wei Ren, Tony Chu, Michael Boyle, Daniel A. Hemberger… 展开作者

E. A. Huerta, Prayush Kumar, Bhanu Agarwal, Daniel George, Hsi-Yu Schive, Harald P. Pfeiffer, Roland Haas, Wei Ren, Tony Chu, Michael Boyle, Daniel A. Hemberger, Lawrence E. Kidder, Mark A. Scheel, Bela Szilagyi

摘要:

我们提出了一个时域波形模型,描述的inspiral-merge-ringdown(IMR)的紧凑的二元系统,其组件是非自旋,并在轨道上发展具有低到中等偏心率。用三阶后牛顿方程描述了双星的运动方程及其远区辐射场的内旋演化。这后一部分还包括瞬时、尾部和尾部的贡献,以及由于非线性记忆而产生的贡献。这个框架减少到后牛顿近似泰勒T4在第三后牛顿秩序的零偏心极限。为了提高相位精度,我们将高阶后牛顿修正的准圆双星的能量通量和引力自作用力修正的紧密双星的结合能。这种增强的螺旋进化处方相结合的合并振铃进化的分析处方,使用一个目录的数值相对论模拟。该IMR波形模型再现了零偏心极限下质量比在1到15之间的系统的有效单体波形。使用一组偏心的数值相对论模拟,在校准过程中没有使用,我们表明,我们的偏心模型准确地再现了偏心紧凑的二进制合并的整个合并的功能。使用这个模型,我们表明,可以有效地恢复的引力波瞬变GW 150914和GW 151226与模板银行的准圆形,自旋对齐的波形,如果这些系统的偏心率$e_0$时,他们进入aLIGO频段在引力波频率为14 Hz满足$e_0^{\rm GW150914}\leq0.15$和$e_0^{\rm GW151226}\leq0.1$。

英文摘要:

We present a time domain waveform model that describes the inspiral-merger-ringdown (IMR) of compact binary systems whose components are non-spinning, and which evolve on orbits with low to moderate eccentricity. The inspiral evolution is described using third order post-Newtonian equations both for the equations of motion of the binary, and its far-zone radiation field. This latter component also includes instantaneous, tails and tails-of-tails contributions, and a contribution due to non-linear memory. This framework reduces to the post-Newtonian approximant TaylorT4 at third post-Newtonian order in the zero eccentricity limit. To improve phase accuracy, we incorporate higher-order post-Newtonian corrections for the energy flux of quasi-circular binaries and gravitational self-force corrections to the binding energy of compact binaries. This enhanced inspiral evolution prescription is combined with an analytical prescription for the merger-ringdown evolution using a catalog of numerical relativity simulations. This IMR waveform model reproduces effective-one-body waveforms for systems with mass-ratios between 1 to 15 in the zero eccentricity limit. Using a set of eccentric numerical relativity simulations, not used during calibration, we show that our eccentric model accurately reproduces the features of eccentric compact binary coalescence throughout the merger. Using this model we show that the gravitational wave transients GW150914 and GW151226 can be effectively recovered with template banks of quasi-circular, spin-aligned waveforms if the eccentricity $e_0$ of these systems when they enter the aLIGO band at a gravitational wave frequency of 14 Hz satisfies $e_0^{\rm GW150914}\leq0.15$ and $e_0^{\rm GW151226}\leq0.1$.

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