We present the FastEMRIWaveforms (FEW) package, a collection of tools to build and analyze extreme mass ratio inspiral (EMRI) waveforms. Here, we expand on the Physical Review Letter that introduced the first fast and accurate fully-relativistic EMRI waveform template model. We discuss the construction of the overall framework; constituent modules; and the general methods used to accelerate EMRI waveforms. Because the fully relativistic FEW model waveforms are for now limited to eccentric orbits in the Schwarzschild spacetime, we also introduce an improved Augmented Analytic Kludge (AAK) model that describes generic Kerr inspirals. Both waveform models can be accelerated using graphics processing unit (GPU) hardware. With the GPU-accelerated waveforms in hand, a variety of studies are performed including an analysis of EMRI mode content, template mismatch, and fully Bayesian Markov Chain Monte Carlo-based EMRI parameter estimation. We find relativistic EMRI waveform templates can be generated with fewer harmonic modes ($\sim10-100$) without biasing signal extraction. However, we show for the first time that extraction of a relativistic injection with semi-relativistic amplitudes can lead to strong bias and anomalous structure in the posterior distribution for certain regions of parameter space.
ESO Expanding Horizons White Paper: Electromagnetic characterisation of millihertz gravitational-wave sources in the Milky Way
University of Warwick（华威大学）；Max Planck Institute for Astrophysics（马克斯·普朗克天体物理研究所）；University of Valencia（瓦伦西亚大学）；Weizmann Institute of Science（魏茨曼科学研究所）；Observatoire de la Côte d’Azur（蔚蓝海岸天文台）；Radboud University（拉德堡德大学）；European Southern Observatory（欧洲南方天文台）；University of Sheffield（谢菲尔德大学）；Polytechnic University of Catalonia（加泰罗尼亚理工大学）；Institute of Science and Technology Austria（奥地利科学技术研究所）
Extracting Astrophysical Information of Highly-Eccentric Binaries in the Millihertz Gravitational Wave Band
UCLA（加州大学洛杉矶分校）；Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, UCLA（加州大学洛杉矶分校物理与天文学系马尼·L·巴乌米克理论物理研究所）；LIGO Laboratory, California Institute of Technology（加州理工学院LIGO实验室）；Department of Physics, The Chinese University of Hong Kong（香港中文大学物理系）；RESCEU, The University of Tokyo（东京大学RESCEU）；Rudolf Peierls Centre for Theoretical Physics, Parks Road, Oxford（牛津大学鲁道夫·派尔斯理论物理中心）；Department of Physics and Astronomy, University of British Columbia（不列颠哥伦比亚大学物理与天文学系）；Department of Astronomy and Astrophysics, University of California, San Diego（加州大学圣地亚哥分校天文与天体物理学系）；Center for Computational Astrophysics, Flatiron Institute（西蒙斯基金会平顿研究所计算天体物理中心）
Extreme Mass Ratio Inspirals in Light of Quasi-periodic Eruptions: Milli-Hertz Gravitational Wave Background
Tsung-Dao Lee Institute, Shanghai Jiao-Tong University（上海交大李政道研究所）；School of Physics & Astronomy, Shanghai Jiao-Tong University（上海交通大学物理与天文学院）；Department of Astronomy, School of Physics, Peking University（北京大学物理学院天文学系）；Kavli Institute for Astronomy and Astrophysics at Peking University（北京大学科维理天文与天体物理研究所）
Directional Response Optimization through Linear Recombination of Time-Delay Interferometry Channels in Space-based Gravitational Wave Detection
National Astronomical Observatories, Chinese Academy of Sciences（中国科学院国家天文台）；School of Astronomy and Space Science, University of Chinese Academy of Sciences（中国科学院大学天文与空间科学学院）；The International Center for Theoretical Physics Asia-Pacific (ICTP-AP), University of Chinese Academy of Sciences（中国科学院大学亚太理论物理中心）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences（中国科学院大学杭州高等研究院基础科学与数学学院）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Taiji Laboratory for Gravitational Wave Universe (Beijing/Hangzhou), University of Chinese Academy of Sciences（中国科学院大学太极引力波宇宙实验室（北京/杭州））
Stochastic Gravitational Wave Background from Highly-Eccentric Stellar-Mass Binaries in the Milli-hertz Band
UCLA（加州大学洛杉矶分校）；Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, UCLA（加州大学洛杉矶分校物理与天文学系马尼·L·巴乌米克理论物理研究所）；Rudolf Peierls Centre for Theoretical Physics, Parks Road, Oxford（牛津大学鲁道夫·派尔斯理论物理中心）
Periodic Orbits and Their Gravitational-Wave Signatures around a Rotating Black Hole Surrounded by Perfect Fluid Dark Matter
Zhejiang University of Technology（浙江工业大学）；United Center for Gravitational Wave Physics (UCGWP), Zhejiang University of Technology（引力波物理联合中心（UCGWP），浙江工业大学）；Bahauddin Zakariya University, Vehari Campus（巴哈丁·扎卡里亚大学，韦哈里校区）；Khazar University（哈扎尔大学）
Testing Gravitational-Wave Signal From Verification Binaries with Space-Based Gravitational-Wave Detectors
School of Science, Shenzhen Campus of Sun Yat-sen University（中山大学深圳校区理学院）；School of Electrical and Electronic Engineering, Anhui Science and Technology University（安徽科技学院电气与电子工程学院）
Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,γ)$ Dark Matter Halo
National University of Uzbekistan（乌兹别克斯坦国立大学）；Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology（浙江工业大学理论物理与宇宙学研究所）；Institute of Fundamental and Applied Research, National Research University TIIAME（塔什干信息技术与应用科学国立研究院基础与应用研究所）；University of Tashkent for Applied Sciences（塔什干应用科学大学）
Effect of noise characterization on the detection of mHz stochastic gravitational waves
Aristotle University of Thessaloniki（萨洛尼卡亚里士多德大学）；National Observatory of Athens（雅典国家天文台）；Université Paris Cité（巴黎西岱大学）；CNRS, Astroparticule et Cosmologie（法国国家科学研究中心，粒子天体物理与宇宙学）；CEA, Université Paris-Saclay（法国原子能与替代能源委员会，巴黎萨克雷大学）；Delft University of Technology（代尔夫特理工大学）
Periodic orbits as probes of charged loop quantum gravity black holes through gravitational waves
School of Science, Hunan Institute of Technology（湖南理工学院理学院）；Centre for Theoretical Physics, Jamia Millia Islamia（贾米亚米利亚伊斯兰大学理论物理中心）；Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal（夸祖鲁-纳塔尔大学数学、统计与计算机科学学院天体物理学与宇宙学研究中心）
Probing Spin-2 Ultralight Dark Matter with Space-based Gravitational Wave Detectors in the mHz Regime
Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院，中国科学院大学）；University of Chinese Academy of Sciences（中国科学院大学）；National Astronomical Observatories, Chinese Academy of Sciences（中国科学院国家天文台）；Ningbo University（宁波大学）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
Bayesian analysis of the complex singlet model with phase transition gravitational waves
International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), University of Chinese Academy of Sciences (UCAS)（国际理论物理中心亚太分馆，中国科学院大学）；Taiji Laboratory for Gravitational Wave Universe (Beijing/Hangzhou), University of Chinese Academy of Sciences (UCAS)（太极引力波宇宙实验室（北京/杭州），中国科学院大学）；Chongqing University（重庆大学）；Nanjing Normal University（南京师范大学）
Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology（浙江工业大学理论物理与宇宙学研究所）；School of Science, Hunan Institute of Technology（湖南工学院理学院）；Centre for Theoretical Physics, Jamia Millia Islamia（贾米娅米利亚伊斯兰大学理论物理中心）；Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal（夸祖鲁-纳塔尔大学数学、统计与计算机科学学院天体物理与宇宙学研究单元）
Bayesian P-spline recovery of stochastic gravitational-wave backgrounds in LISA
The University of Auckland（奥克兰大学）；Auckland University of Technology（奥克兰理工大学）；Université Côte d’Azur（蔚蓝海岸大学）；Observatoire de la Côte d’Azur（蔚蓝海岸天文台）；CNRS（法国国家科学研究中心）
