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Extreme mass-ratio inspirals are crucial sources for future space-based gravitational wave detections. Gravitational waveforms emitted by extreme mass-ratio inspirals are closely related to the orbital dynamics of small celestial objects,…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Sen Yang , Yu-Peng Zhang , Tao Zhu , Li Zhao , Yu-Xiao Liu

I review the status of research, conducted by a variety of independent groups, aimed at the eventual observation of Extreme Mass Ratio Inspirals (EMRIs) with gravitational wave detectors. EMRIs are binary systems in which one of the objects…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Steve Drasco

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

We develop a waveform model to describe the inspiral, merger and ringdown of binary systems with comparable and intermediate mass-ratios. This model incorporates first-order conservative self-force corrections to the energy and angular…

General Relativity and Quantum Cosmology · Physics 2014-07-11 E. A. Huerta , Prayush Kumar , Jonathan R. Gair , Sean T. McWilliams

One of the most exciting prospects for the Laser Interferometer Space Antenna (LISA) is the detection of gravitational waves from the inspirals of stellar-mass compact objects into supermassive black holes. Detection of these sources is an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Gareth Jones

Extreme-mass-ratio inspirals (EMRIs) of ~ 1-10 solar-mass compact objects into ~ million solar-mass massive black holes can serve as excellent probes of strong-field general relativity. The Laser Interferometer Space Antenna (LISA) is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Ilya Mandel , Linqing Wen

A compact object with a mass $\mathcal{O}(1 \sim 1000) M_{\odot}$, such as a black hole of stellar or primordial origin or a neutron star, and a much lighter exotic compact object with a subsolar mass could form a non-standard mini extreme…

Instrumentation and Methods for Astrophysics · Physics 2022-05-24 Huai-Ke Guo , Andrew Miller

We explore the class of exponential integrators known as exponential time differencing (ETD) method in this letter to design low complexity nonlinear Fourier transform (NFT) algorithms that compute discrete approximations of the scattering…

Computational Physics · Physics 2019-08-27 Vishal Vaibhav

To integrate large systems of nonlinear differential equations in time, we consider a variant of nonlinear waveform relaxation (also known as dynamic iteration or Picard-Lindel\"of iteration), where at each iteration a linear inhomogeneous…

Numerical Analysis · Mathematics 2024-04-23 Mike A. Botchev

Gravitational waves from extreme mass-ratio inspirals (EMRIs), the inspirals of stellar-mass compact objects into massive black holes, are predicted to be observed by the Laser Interferometer Space Antenna (LISA). A sufficiently large…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shashwat Singh , Christian E. A. Chapman-Bird , Christopher P L Berry , John Veitch

The gravitational wave signal from merging compact binaries encodes information about their orbital and intrinsic properties. Over the last few years, state-of-the-art waveform models have begun to incorporate the effects of orbital…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Natalie Malagon , Richard O'Shaughnessy

We present an algorithm for calculating the metric perturbations and gravitational self-force for extreme-mass-ratio inspirals (EMRIs) with eccentric orbits. The massive black hole is taken to be Schwarzschild and metric perturbations are…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Thomas Osburn , Erik Forseth , Charles Evans , Seth Hopper

Extreme mass-ratio inspirals (EMRIs), consisting of a stellar-mass compact object spiraling into a massive black hole, are key sources for future space-based gravitational wave observatories such as LISA. Accurate modeling of these systems…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Viktor Skoupý , Gabriel Andres Piovano , Vojtěch Witzany

In this paper we develop a waveform model that accurately reproduces the dynamical evolution of intermediate-mass-ratio inspirals, as predicted by the effective-one-body (EOB) model introduced in [1], and which enables us to shed some light…

General Relativity and Quantum Cosmology · Physics 2012-07-13 E. A. Huerta , Prayush Kumar , Duncan A. Brown

Gravitational wave observations of the inspiral of stellar-mass compact objects into massive black holes (MBHs), extreme mass ratio inspirals (EMRIs), enable precision measurements of parameters such as the MBH mass and spin. The Laser…

High Energy Astrophysical Phenomena · Physics 2024-05-09 Christian E. A. Chapman-Bird , Christopher P. L. Berry , Graham Woan

The LIGO-Virgo-KAGRA consortium has sporadically detected purely inspiral gravitational-wave events like GW170817 and GW190425. These events offer an opportunity to constrain the presence of possible initial (residual) orbital…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Hemantakumar Phurailatpam , Gopakumar Achamveedu , Maria Haney , Tjonnie Li , Srishti Tiwari

The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Alvin J. K. Chua , Michael L. Katz , Niels Warburton , Scott A. Hughes

The width of a resonance in a nearly integrable system, i.e. in a non-integrable system where chaotic motion is still not prominent, can tell us how a perturbation parameter is driving the system away from integrability. Although the tool…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Ondřej Zelenka , Ondřej Kopáček , Georgios Lukes-Gerakopoulos

The inspirals of stellar-mass mass compact objects into massive black holes in the centres of galaxies are one of the most important sources of gravitational radiation for space-based detectors like LISA or eLISA. These extreme-mass-ratio…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Pau Amaro-Seoane , Jonathan R. Gair , Adam Pound , Scott A. Hughes , Carlos F. Sopuerta

Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Chad Henshaw , Jacob Lange , Peter Lott , Richard O'Shaughnessy , Laura Cadonati