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With a view to developing a formalism that will be applicable at second perturbative order, we devise a new practical scheme for computing the gravitational self-force experienced by a point mass moving in a curved background spacetime. Our…

General Relativity and Quantum Cosmology · Physics 2021-06-14 Barry Wardell , Niels Warburton

Extreme-mass-ratio inspirals (EMRIs) will be key sources for LISA. However, accurately extracting system parameters from a detected EMRI waveform will require self-force calculations at second order in perturbation theory, which are still…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Samuel D. Upton , Adam Pound

Extreme-mass-ratio inspirals (EMRIs) are among the most promising sources for future space-based gravitational-wave (GW) detectors, such as LISA. To fully leverage the scientific potential, the GW templates required for parameter estimation…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Viktor Skoupý

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), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

An Extreme Mass Ratio Inspiral (EMRI), which corresponds to a small compact object inspirals around a massive black hole in the center of a galaxy, is one of the most important sources for future space-borne gravitational-wave (GW)…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Yi-Xiang Wei , Xian-Long Zhu , Jian-dong Zhang , Jianwei Mei

Extreme Mass Ratio Inspirals (EMRIs) are one of the key sources for future space-based gravitational wave interferometers. Measurements of EMRI gravitational waves are expected to determine the characteristics of their sources with…

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

In this paper, we calculate the frequencies of geodesic orbits in self-dual spacetime on the equatorial plane and obtain the leading-order effects of loop quantum parameters $P$ on the energy flux and angular momentum flux in eccentric…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yunlong Liu , Xiangdong Zhang

The numerical calculation of gravitational self-force in extreme mass ratio inspiral systems is fundamentally challenging due to the singular nature of point-particle sources. To overcome these difficulties, the effective source method…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Chao Zhang , Rong-gen Cai , Guoyang Fu , Yungui Gong , Xuchen Lu , Wenting Zhou

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

Extreme-mass-ratio inspirals (EMRIs), stellar-mass compact objects (SCOs) inspiralling into a massive black hole, are one of the main sources of gravitational waves expected for the Laser Interferometer Space Antenna (LISA). To extract the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Priscilla Canizares , Carlos F. Sopuerta

Extreme mass ratio in-spirals (EMRIs) are candidate events for gravitational wave detection in the millihertz range (by detectors like LISA and eLISA). These events involve a stellar-mass black hole, or a similar compact object, descending…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Deyan P. Mihaylov , Jonathan Gair

Scientific analysis for the gravitational-wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Soichiro Isoyama , Ryuichi Fujita , Alvin J. K. Chua , Hiroyuki Nakano , Adam Pound , Norichika Sago

Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Jonathan L. Barton , David J. Lazar , Daniel J. Kennefick , Gaurav Khanna , Lior M. Burko

Extreme mass-ratio inspirals (EMRIs), comprising a stellar-mass compact object (CO) orbiting a supermassive black hole (BH), are key targets for future space-based gravitational-wave (GW) observatories. Incorporating the spin of the…

High Energy Astrophysical Phenomena · Physics 2026-03-26 Qiuxin Cui , Wen-Biao Han

It is not currently clear how important it will be to include conservative self-force (SF) corrections in the models for extreme-mass-ratio inspiral (EMRI) waveforms that will be used to detect such signals in LISA (Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2010-09-30 E. A. Huerta , Jonathan R Gair

We study eccentric orbits of the Schwarzschild spacetime for extreme mass ratio system (EMRI) in modified gravity theories with additional scalar fields. Due to the additional energy and angular momentum carried away by the scalar field,…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Chao Zhang , Yungui Gong , Dicong Liang , Bin Wang

Extreme mass-ratio inspirals (EMRIs), namely binary systems composed of a massive black hole and a compact stellar-mass object, are anticipated to be among the gravitational wave (GW) sources detected by the Laser Interferometer Space…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-23 Chang Liu , Danny Laghi , Nicola Tamanini
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