We solve the equations of two-dimensional hydrodynamics describing a circumbinary disk accreting onto an eccentric, equal-mass binary. We compute the time rate of change of the binary semimajor axis $a$ and eccentricity $e$ over a continuous range of eccentricities spanning $e=0$ to $e=0.9$. We find that binaries with initial eccentricities $e_0 \lesssim 0.1$ tend to $e=0$, where the binary semimajor axis expands. All others are attracted to $e \approx 0.4$, where the binary semimajor axis decays. The $e \approx 0.4$ attractor is caused by a rapid change in the disk response from a nearly origin-symmetric state to a precessing asymmetric state. The state change causes the time rates of change $\dot{a}$ and $\dot{e}$ to steeply change sign at the same critical eccentricity resulting in an attracting solution where $\dot{a} = \dot{e} = 0$. This does not, however, result in a stalled, eccentric binary. The finite-transition time between disk states causes the binary eccentricity to evolve beyond the attracting eccentricity in both directions resulting in oscillating orbital parameters and a drift of the semimajor axis. For the chosen disk parameters, binaries with $e_0 \gtrsim 0.1$ evolve toward and then oscillate around $e \approx 0.4$ where they shrink in semimajor axis. Because unequal mass binaries grow toward equal mass through preferential accretion, our results are applicable to a wide range of initial binary mass ratios. Hence, these findings merit further investigations of this disk transition; understanding its dependence on disk parameters is vital for determining the fate of binaries undergoing orbital evolution with a circumbinary disk.
High accuracy post-Newtonian and numerical relativity comparisons involving higher modes for eccentric binary black holes and a dominant mode eccentric inspiral-merger-ringdown model
Constraining initial orbital eccentricity of inspiral-dominated gravitational-wave events with an analytic approximant
The Chinese University of Hong Kong(香港中文大学);Tata Institute of Fundamental Research(塔塔基础研究所);Nikhef—National Institute for Subatomic Physics(NIKHEF-国家亚原子物理研究所);KU Leuven(荷语鲁汶大学);The Inter-University Centre for Astronomy and Astrophysics(大学间天文学与天体物理学中心)
ESIGMAHM: An Eccentric, Spinning inspiral-merger-ringdown waveform model with Higher Modes for the detection and characterization of binary black holes
Effects of dark dipole radiation on eccentric supermassive black hole binary inspirals
School of Astronomy and Space Science, University of Chinese Academy of Sciences (UCAS)(中国科学院大学天文与空间科学学院);School of Physics, Nanjing University(南京大学物理学院)
Spin precession effects in the phasing formula of eccentric compact binary inspirals up to the second post-Newtonian order
Indian Institute of Technology Madras(印度马德拉斯理工学院);Centre for Strings, Gravitation and Cosmology, Department of Physics, Indian Institute of Technology Madras(印度马德拉斯理工学院物理系弦、引力和宇宙学中心);Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), Northwestern University(西北大学天体物理学交叉探索与研究中心)
Relativistic effects in extreme-mass-ratio inspirals within scalar clouds: Eccentric and inclined orbits
CENTRA, Departamento de Física, Instituto Superior Técnico – IST, Universidade de Lisboa – UL(里斯本大学高级技术学院物理系中心);Gravitation Astroparticle Physics Amsterdam (GRAPPA), University of Amsterdam(阿姆斯特丹大学引力天体粒子物理学中心)
A parametrized test of general relativity for inspiralling eccentric binaries in LISA
Niels Bohr International Academy, The Niels Bohr Institute(尼尔斯·玻尔国际学院,尼尔斯·玻尔研究所);Center of Gravity, Niels Bohr Institute(引力中心,尼尔斯·玻尔研究所);Univ Toulouse, CNRS, L2IT(图卢兹大学,法国国家科学研究中心,L2IT);Institut für Physik und Astronomie, Universität Potsdam(波茨坦大学物理与天文学研究所)
Post-Newtonian inspiral waveform model for eccentric precessing binaries with higher-order modes and matter effects
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));Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid(马德里自治大学理论物理研究所);School of Physics and Astronomy and Institute for Gravitational Wave Astronomy, University of Birmingham(伯明翰大学物理与天文学院及引力波天文研究所);Department of Physics, University of Maryland, College Park(马里兰大学帕克分校物理系)
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。
Horizon absorption in eccentric precessing binary black hole inspirals and its importance for gravitational wave data analysis
Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid(马德里自治大学理论物理研究所);Atmospheric Research and Instrumentation Branch, National Institute for Aerospace Technology (INTA)(国家航空航天技术研究院大气研究与仪器分支);Max Planck Institute for Gravitational Physics (Albert Einstein Institute)(马克斯·普朗克引力物理学研究所(爱因斯坦研究所))
Eccentricity distribution of extreme mass ratio inspirals
Università degli Studi di Trento(特伦托大学);Università degli Studi di Milano-Bicocca(米兰比可卡大学);INFN - Sezione di Milano-Bicocca(意大利国家核物理研究所米兰比可卡分部);INAF - Osservatorio Astronomico di Brera(意大利国家天体物理研究所布雷拉天文台)