A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
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旋转致密物体进动双星引力波的物理模板族：在单自旋双星中的应用
DOI：
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发表时间：
2003
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通讯作者：
M. Vallisneri
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作者：
Yi Pan;A. Buonanno;Yanbei Chen;M. Vallisneri
由旋转致密物体的进动双星发射的引力波（GW）的检测是复杂的，大量的参数（如自旋的幅度和初始方向，以及相对于检测器的双星的位置和方向），需要精确地模拟GW信号的进动诱导调制。在本文中，我们描述了一个快速匹配过滤搜索方案的进动二进制，我们采用的物理模板家庭提出的Buonanno，陈，和Vallisneri [物理评论D 67，104025（2003）]的地基干涉仪。这个系列提供了基本上精确的波形，直接用物理参数写出来，用于具有单个显著自旋的双星，并且观察到的GW信号在绝热螺旋上升阶段发射（对于LIGO-I和VIRGO，这对应于总质量M。15百万美元）。我们展示了如何在所有参数上自动最大化检测统计量（包括双星相对于探测器的位置和方向），除了四个（两个质量，单个自旋的大小，以及自旋和轨道角动量之间的开角），所以搜索中使用的模板库只有四维;这种技术也与使用星载探测器丽莎从极端质量比的螺旋和超大质量黑洞螺旋中搜索GW有关。使用LIGO-I的设计灵敏度，我们计算出虚警概率为10 −3 /年所需的探测阈值（1000），以及最小匹配为0.97所需的模板数量（1076000），质量范围（m1，m2）= [7，12]M × [1，3]M。
The detection of the gravitational waves (GWs) emitted by precessing binaries of spinning compact objects is complicated by the large number of parameters (such as the magnitudes and initial directions of the spins, and the position and orientation of the binary with respect to the detector) that are required to model accurately the precession-induced modulations of the GW signal. In this paper we describe a fast matched-filtering search scheme for precessing binaries, and we adopt the physical template family proposed by Buonanno, Chen, and Vallisneri [Phys. Rev. D 67, 104025 (2003)] for ground-based interferometers. This family provides essentially exact waveforms, written directly in terms of the physical parameters, for binaries with a single significant spin, and for which the observed GW signal is emitted during the phase of adiabatic inspiral (for LIGO-I and VIRGO, this corresponds to a total mass M . 15M⊙). We show how the detection statistic can be maximized automatically over all the parameters (including the position and orientation of the binary with respect to the detector), except four (the two masses, the magnitude of the single spin, and the opening angle between the spin and the orbital angular momentum), so the template bank used in the search is only four-dimensional; this technique is relevant also to the searches for GW from extreme–mass-ratio inspirals and supermassive blackhole inspirals to be performed using the space-borne detector LISA. Using the LIGO-I design sensitivity, we compute the detection threshold (∼ 10) required for a false-alarm probability of 10 −3 /year, and the number of templates (∼ 76,000) required for a minimum match of 0.97, for the mass range (m1, m2) = [7,12]M⊙ × [1,3]M⊙.