Identifying the source parameters from a gravitational-wave measurement alone is limited by our ability to discriminate signals from different sources and the accuracy of the waveform family employed in the search. Here we address both issues in the framework of an adapted coordinate system that allows for linear Fisher-matrix type calculations of waveform differences that are both accurate and computationally very efficient. We investigate statistical errors by using principal component analysis of the post-Newtonian (PN) expansion coefficients, which is well conditioned despite the Fisher matrix becoming ill conditioned for larger numbers of parameters. We identify which combinations of physical parameters are most effectively measured by gravitational-wave detectors for systems of neutron stars and black holes with aligned spin. We confirm the expectation that the dominant parameter of the inspiral waveform is the chirp mass. The next dominant parameter depends on a combination of the spin and the symmetric mass ratio. In addition, we can study the systematic effect of various spin contributions to the PN phasing within the same parametrization, showing that the inclusion of spin-orbit corrections up to next-to-leading order, but not necessarily of spin-spin contributions, is crucial for an accurate inspiral waveform model. This understanding of the waveform structure throughout the parameter space is important to set up an efficient search strategy and correctly interpret future gravitational-wave observations.
Systematic errors in measuring parameters of non-spinning compact binary coalescences with post-Newtonian templates
我们研究的天体物理影响的重力波形的不准确和不完整的建模从紧凑的二元聚结(CBCs)。我们这样做的匹配滤波的完整的吸气合并振铃(IMR)信号与银行的吸气相位模板建模后的3.5后牛顿泰勒T1近似。选择模板的基本原理有三个方面:(1)现象学信号的螺旋相位,这是完整IMR信号的一个例子,在相同的泰勒T1近似上建模。(2)在低质量的限制,合并和衰荡阶段的持续时间比inspiral阶段短得多,误差应该趋于消失的小值,因此,提供了一个重要的检查我们的模拟数值方面。(3)由于双星黑洞(BBH)的信号还不知道质量比超过10,因为来自涉及中子星的CBCs的信号受到其状态方程知识的不确定性的影响,螺旋模板仍然在使用中搜索这些信号。从我们的数值模拟的结果进行了比较与分析计算的系统误差使用的Fisher矩阵的模板参数空间。我们发现,即使对于组分质量为m1 = 13 M \odot和m2 = 20 M \odot的双黑洞,信噪比(SNR)的损失也可以高达60%.此外,同一对的估计总质量可能会偏离20%。这两种情况对于一些更高质量的组合来说都更糟。甚至对称质量比η的估计在这个例子中也有近20%的误差,并且在这里研究的质量范围内可能比50%更差。这些误差显著地支配它们的统计对应物(在标称SNR为10时)。然而,可以通过允许具有非物理值η的模板来减轻SNR的损失。
Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
Perimeter Institute for Theoretical Physics(Perimeter理论物理研究所);University of Guelph(圭尔夫大学);Max Planck Institute for Gravitational Physics (Albert Einstein Institute)(马克斯·普朗克引力物理研究所(爱因斯坦研究所));Laboratoire des 2 Infinis – Toulouse (L2IT-IN2P3), Universitè de Toulouse, CNRS, UPS(图卢兹双无穷实验室(L2IT-IN2P3),图卢兹大学,法国国家科学研究中心,南法第一大学);School of Physics and Astronomy, University of Glasgow(格拉斯哥大学物理与天文学院);European Space Agency (ESA), European Space Research and Technology Centre (ESTEC)(欧洲空间局(ESA),欧洲空间研究与技术中心(ESTEC));Center of Gravity, Niels Bohr Institute(尼尔斯·玻尔研究所重力中心);School of Mathematical Sciences and STAG Research Centre, University of Southampton(南安普顿大学数学科学学院及STAG研究中心)
Sub-Solar Mass Intermediate Mass Ratio Inspirals: Waveform Systematics and Detection Prospects with Gravitational Waves
Indian Institute of Science Education and Research(印度科学教育与研究机构);Nikhef(荷兰国家核与粒子物理研究所);Inter-University Centre for Astronomy and Astrophysics(大学间天文学与天体物理学中心);Utrecht University(乌得勒支大学)
Effect of calibration errors on Bayesian parameter estimation for gravitational wave signals from inspiral binary systems in the advanced detectors era
Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
我们提出了第一个系统的比较引力波形发出的吸气,准圆形和nonspinning黑洞二进制计算与三种不同的方法:二阶引力自作用力(2GSF)理论,如实施的1 PAT 1模型;数值相对论(NR),如实施的SXS合作;和有效的一个机构(EOB)形式主义,如实施的TEOBResumS波形模型。为了比较模型,我们使用标准的时域波形对齐和基于无量纲函数$Q_ω(ω)\equiv ω^2/\dotω$的规范不变分析,其中$Q_ω(ω)\equiv ω^2/\dotω$是引力波频率。我们分析了1 PAT 1模型的有效性域,推导出误差估计,并表明该模型忽略的最终过渡到暴跌的影响,在一个显着更大的频率间隔比人们可能预期的。限制到螺旋区,我们发现,虽然对于质量比$q = m_1/m_2\le 10$ TEOBResumS与NR在很大程度上是不可区分的,但是1 PAT 1具有显著的退相$\gtrsim 1$ rad;相反地,对于$q\gtrsim 100$,1 PAT 1被估计为在大的频率间隔上具有相位误差$<0.1$ rad,而TEOBResumS与它产生相位差$\gtrsim1$ rad。最关键的是,在相同大的频率间隔上,我们发现在中间状态$15\lesssim q\lesssim 64$中TEOBResumS和1 PAT 1之间具有良好的一致性,其中$<0.5$ rad在它们之间失相。对TEOBRes…
Spin-aligned inspiral waveforms from self-force and post-Newtonian theory
National University of Singapore(新加坡国立大学);University of Southampton(南安普顿大学);University College Dublin(都柏林大学学院);Niels Bohr Institute(尼尔斯·玻尔研究所);Max Planck Institute for Gravitational Physics (Albert Einstein Institute)(马克斯·普朗克引力物理研究所(爱因斯坦研究所))
The significance of first post-adiabatic contributions for scalar charge measurements with intermediate and extreme mass ratio inspirals
University College Dublin(都柏林大学学院);University of Glasgow(格拉斯哥大学);Gran Sasso Science Institute (GSSI)(格兰萨索科学研究所);INFN, Laboratori Nazionali del Gran Sasso(意大利国家核物理研究所,格兰萨索国家实验室);University of Nottingham(诺丁汉大学)
Importance of including small body spin effects in the modelling of intermediate mass-ratio inspirals. II Accurate parameter extraction of strong sources using higher-order spin effects
Extreme mass ratio inspirals into black holes surrounded by matter: Resonance crossings
Astronomical Institute of the Czech Academy of Sciences(捷克科学院天文研究所);Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University(查理大学数学物理学院理论物理研究所)
Constraining the Deviation of Kerr Metric via Bumpy Parameterization and Particle Swarm Optimization in Extreme Mass-Ratio Inspirals
Hangzhou Institute for Advanced Study, UCAS(杭州高等研究院,中国科学院大学);Shanghai Astronomical Observatory, Chinese Academy of Sciences(中国科学院上海天文台);University of Chinese Academy of Sciences(中国科学院大学);State Key Laboratory of Radio Astronomy and Technology(射电天文与技术国家重点实验室);The University of Texas Rio Grande Valley(德克萨斯大学里奥格兰德河谷分校)
Bayesian inference for tidal heating with extreme mass ratio inspirals
Hunan Normal University(湖南师范大学);Hangzhou Institute for Advanced Study, UCAS(中国科学院大学杭州高等研究院);Yangzhou University(扬州大学);Universidade de São Paulo(圣保罗大学);Universidade Estadual Paulista(圣保罗州立大学)
Parameter Estimation of Gravitational Waves from Nonprecessing BH-NS Inspirals with higher harmonics: Comparing MCMC posteriors to an Effective Fisher Matrix
Chaotic imprints of dark matter in extreme mass-ratio inspirals
Başkent University(巴什肯特大学);National University of Sciences and Technology(国立科学与技术大学);National Observatory of Athens(雅典国家天文台);Universidad Católica del Norte(北部天主教大学);University of Science and Technology of China(中国科学技术大学)