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We discuss the properties of the effective-one-body (EOB) multipolar gravitational waveform emitted by nonspinning black-hole binaries of masses $\mu$ and $M$ in the extreme-mass-ratio limit, $\mu/M=\nu\ll 1$. We focus on the transition…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We consider the importance of the second-order dissipative self force for gravitational wave dephasing for an extreme or intermediate mass ratio system moving along a quasi-circular Schwarzschild orbit. For the first-order self force we use…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Lior M. Burko , Gaurav Khanna

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Lior M. Burko

In the small mass ratio expansion and on the equatorial plane, the two-body problem for point particles in general relativity admits a quasi-circular inspiral motion followed by a transition-to-plunge motion. We first derive the equations…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Geoffrey Compère , Lorenzo Küchler

A system of reduced equations is proposed for the electron motion in the strongly-radiation dominated regime for an arbitrary electromagnetic field configuration. The developed approach is used to analyze various scenarios of an electron…

Plasma Physics · Physics 2023-01-06 A. S. Samsonov , E. N. Nerush , I. Yu. Kostyukov

We describe a general procedure to generate spinning, precessing waveforms that include inspiral, merger and ringdown stages in the effective-one-body (EOB) approach. The procedure uses a precessing frame in which precession-induced…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Yi Pan , Alessandra Buonanno , Andrea Taracchini , Lawrence E. Kidder , Abdul H. Mroue , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

Binary black hole mergers with asymmetric component masses are key targets for both third-generation ground-based and future space-based gravitational-wave (GW) detectors, offering unique access to the strong-field dynamics of gravity. The…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Daiki Watarai , Kent Yagi , Shammi Tahura

This is a third installment in a program to develop a method for alleviating the scale disparity in binary black hole simulations with mass ratios in the intermediate astrophysical range, where simulation cost is prohibitive while purely…

General Relativity and Quantum Cosmology · Physics 2025-09-04 Nikolas A. Wittek , Adam Pound , Harald P. Pfeiffer , Leor Barack

The parameterized post-Einsteinian framework modifies inspiral waveform models to incorporate effects beyond General Relativity. We extend the existing model into the merger-ringdown regime. The modification introduced here adds a single…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Gabriel S. Bonilla , Prayush Kumar , Saul A. Teukolsky

The largest part of any gravitational-wave inspiral of a compact binary can be understood as a slow, adiabatic drift between the trajectories of a certain referential conservative system. In many contexts, the phase space of this…

General Relativity and Quantum Cosmology · Physics 2021-11-23 Georgios Lukes-Gerakopoulos , Vojtěch Witzany

Higher-order gravitational wave modes from quasi-circular, spinning, non-precessing binary black hole mergers encode key information about these systems' nonlinear dynamics. We model these waveforms using transformer architectures,…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Victoria Tiki , Kiet Pham , Eliu Huerta

We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , Yi Pan , Enrico Barausse , M. Coleman Miller , William Throwe

Understanding the orbits of spinning bodies in curved spacetime is important for modeling binary black hole systems with small mass ratios. At zeroth order in mass ratio, the smaller body moves on a geodesic. Post-geodesic effects are…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Lisa V. Drummond , Philip Lynch , Alexandra G. Hanselman , Devin R. Becker , Scott A. Hughes

Gravitational self-force (GSF) theory is a strong-gravity perturbative approach to the relativistic two-body problem, primarily developed to model extreme-mass-ratio inspirals, where one compact object is significantly more massive than the…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Benjamin Leather , Alessandra Buonanno , Maarten van de Meent

We compare recently computed waveforms from second-order gravitational self-force (GSF) theory to those generated by a new, GSF-informed, effective one body (EOB) waveform model for (spin-aligned, eccentric) inspiralling black hole binaries…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Angelica Albertini , Alessandro Nagar , Adam Pound , Niels Warburton , Barry Wardell , Leanne Durkan , Jeremy Miller

Gravitational waves from binary neutron star mergers provide critical insights into dense matter physics and strong-field gravity, yet accurate waveform modeling remains computationally intensive. We present a deep generative model for…

Astrophysics of Galaxies · Physics 2025-10-14 Mengfei Sun , Jie Wu , Jin Li , Brendan Mccane , Nan Yang , Xianghe Ma , Borui Wang , Minghui Zhang

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

In the present article, we discuss the late inspiral and then the transition regime to the plunge phase of a secondary, less massive compact object into a more massive braneworld black hole, in the context of an extreme-mass-ratio inspiral.…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Sajal Mukherjee , Sumanta Chakraborty

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

We present results from calculations of the orbital evolution in eccentric binaries of nonrotating black holes with extreme mass-ratios. Our inspiral model is based on the method of osculating geodesics, and is the first to incorporate the…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Niels Warburton , Sarp Akcay , Leor Barack , Jonathan R. Gair , Norichika Sago