Recently, we developed effective fly-by (EFB) waveforms designed to model the burst of gravitational radiation from highly eccentric binaries. We here present a faster to evaluate frequency domain EFB waveform. The waveform is constructed through the use of asymptotic expansions of hypergeometric functions. Since the waveform is fully analytic, we study the accuracy to which the binary's parameters can be measured using a Fisher analysis. We find that degeneracies exist among the parameters, such that the waveform is parameterized in terms of the chirp mass ${\cal{M}}$ and orbital radius of curvature ${\cal{P}}$, instead of the total mass, symmetric mass ratio, and semi-latus rectum of the binary. By computing the Fisher matrix for single bursts from two thousand binary systems, we find that most of the systems will have greater than one hundred percent uncertainty in the chirp mass, luminosity distance, and inclination angle, while roughly half will have less than one hundred percent uncertainty in the orbital radius of curvature, orbital eccentricity, and polarization angle. Further, we repeat this analysis after including additional bursts within the inspiral sequence and find that the uncertainties in the waveform's parameters can improve by orders of magnitude with a sufficient timing model for the bursts.
Large-Eccentricity Asymptotics and Fast Analytic Approximation for Fourier modes of Post-Newtonian Eccentric Waveforms
Instituto de Física Téorica UAM-CSIC, Universidad Autónoma de Madrid(马德里自治大学理论物理研究所);Beijing Normal University(北京师范大学);Hangzhou Institute for Advanced Study, UCAS(中国科学院大学杭州高等研究院)
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)
Fast prediction and evaluation of gravitational waveforms using surrogate models
[摘要]我们提出了一种解决方案,可以快速准确地预测任何给定物理模型中的引力波形。该方法与实时应用和使用标准方法生成波形可能过于昂贵的更传统的场景都相关。我们的方法是基于三个离线步骤,从而在一个准确的降阶模型,可以用作替代品的真实/基准波形家庭。首先,使用贪婪算法确定一组m个参数值,从该贪婪算法构造减少的基表示。第二,这m个参数导致选择m个时间值,用于使用经验内插器来内插波形时间序列。第三,在这m个时间中的每一个时间对波形的值执行参数维度中的拟合。对于一般参数选择,预测L个波形时间样本的成本是m L + m c_f在线操作的数量级,其中c_f表示拟合函数操作计数,并且通常m << L。我们生成准确的替代模型的有效一体(EOB)波形的非旋转的二元黑洞合并的持续时间长达10^5 M,质量比从1到10,和多个谐波模式。我们发现,这些替代品是三个数量级更快地评估相比,以标准的方式生成EOB波形的成本。其他波形模型的替代模型构建遵循相同的步骤,并且具有相同的低在线缩放成本。对于昂贵的数值模拟的二元黑洞coalescences,我们因此预计大的加速产生新的波形与代理。由于波形生成是参数估计算法和参数空间探索的主要成本之一,因此代理模型提供了一种新的实用方法,可以在不影响精度的情况下显着加速此类研究。
Auto-encoder model for faster generation of effective one-body gravitational waveform approximations
Department of Physics, The University of Tokyo(东京大学物理系);Research Center for Early Universe, The University of Tokyo(东京大学早期宇宙研究中心);Department of Physics, National Taiwan Normal University(台湾师范大学物理系);Center of Astronomy and Gravitation, National Taiwan Normal University(台湾师范大学天文与引力中心)
Fast, accurate, and differentiable: a neural-network surrogate for NRSur7dq4 precessing binary black hole waveforms
University of Rhode Island(罗德岛大学);Institute for AI & Computational Research(人工智能与计算研究所);California Institute of Technology(加州理工学院);LIGO Laboratory(LIGO实验室)
The Fast and the Frame-Dragging: Efficient waveforms for asymmetric-mass eccentric equatorial inspirals into rapidly-spinning black holes
University of Birmingham(伯明翰大学);University of Glasgow(格拉斯哥大学);European Space Agency (ESA)(欧洲航天局(ESA));University of Southampton(南安普顿大学);Université de Toulouse(图卢兹大学);CNRS(法国国家科学研究中心);NASA Marshall Space Flight Center(美国宇航局马歇尔太空飞行中心);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));National University of Singapore(新加坡国立大学)
本文提出了一种高效方法,用于生成非对称质量偏心赤道 inspirals 进入快速旋转黑洞的波形,支持偏心率 e < 0.9 和半焦距参数 p < 200,生成长时程 IMRI 波形,且在 100 毫秒内完成,具有 10^-5 的匹配度。
Fast gravitational waveform models for quasi-circular coalescences of neutron star--black hole binaries
Universitat de les Illes Balears(巴利阿里群岛大学);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));Universität Potsdam(波茨坦大学);CNRS/IN2P3, Laboratoire de Physique Corpusculaire (LPC) UMR6534(法国国家科学研究中心/法国国家核与粒子物理研究所,核物理实验室);University of Canterbury(坎特伯雷大学)