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arXiv 0909.0066gr-qc
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偏心率对地基探测器接收并合致密双星引力波的影响

The Effect of Eccentricity on Searches for Gravitational-Waves from Coalescing Compact Binaries in Ground-based Detectors

Duncan A. Brown, Peter J. Zimmerman

摘要:

螺旋形的致密双星预计会在其引力波信号到达地面探测器的敏感频带之前循环。因此,目前使用LIGO和Virgo探测器从致密双星中搜索引力波的方法是使用圆形模板来构建匹配滤波器。二元形成模型已经提出,这表明,一些系统可检测的LIGO-Virgo网络可能有不可忽略的偏心率。我们调查的能力,限制3.5后牛顿阶泰勒F2模板银行,用于LIGO和处女座的质量$M \le 35 M_\odot$,从紧凑的二进制搜索引力波,检测二进制与非零偏心率。本文采用Hinder \emph{et. al.} [I]提出的$x$模型后牛顿形式,模拟了偏心双星的引力波。Hinder,F. Hermann,P. Laguna,and D. Shoemaker,arXiv:0806.1037v1]。我们发现,小的剩余偏心率($e_0 \lesssim 0.05$在40赫兹)不显着影响目前的LIGO搜索的能力,以检测引力波从合并的紧凑的二进制与总质量$2 M_\odot < M < 15 M_\odot$。对于偏心率$e_0 \gtrsim 0.1$,由于偏心率导致的匹配滤波器信噪比的损失可能是显著的,因此将需要包括偏心效应的模板来对这种系统执行最佳搜索。

英文摘要:

Inspiralling compact binaries are expected to circularize before their gravitational-wave signals reach the sensitive frequency band of ground-based detectors. Current searches for gravitational waves from compact binaries using the LIGO and Virgo detectors therefore use circular templates to construct matched filters. Binary formation models have been proposed which suggest that some systems detectable by the LIGO--Virgo network may have non-negligible eccentricity. We investigate the ability of the restricted 3.5 post-Newtonian order TaylorF2 template bank, used by LIGO and Virgo to search for gravitational waves from compact binaries with masses $M \le 35 M_\odot$, to detect binaries with non-zero eccentricity. We model the gravitational waves from eccentric binaries using the $x$-model post-Newtonian formalism proposed by Hinder \emph{et. al.} [I. Hinder, F. Hermann, P. Laguna, and D. Shoemaker, arXiv:0806.1037v1]. We find that small residual eccentricities ($e_0 \lesssim 0.05$ at 40 Hz) do not significantly affect the ability of current LIGO searches to detect gravitational waves from coalescing compact binaries with total mass $2 M_\odot < M < 15 M_\odot$. For eccentricities $e_0 \gtrsim 0.1$, the loss in matched filter signal-to-noise ratio due to eccentricity can be significant and so templates which include eccentric effects will be required to perform optimal searches for such systems.

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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