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We describe a new class of resonances for extreme mass-ratio inspirals (EMRIs): tidal resonances, induced by the tidal field of nearby stars or stellar-mass black holes. A tidal resonance can be viewed as a general relativistic extension of…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Béatrice Bonga , Huan Yang , Scott A. Hughes

The motion of a small compact object (SCO) in a background spacetime is investigated further in a class of model nonlinear scalar field theories having a perturbative structure analogous to the General Relativistic description of extreme…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Chad R. Galley

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

Given the multi-frequency nature of relativistic orbits, transient orbital resonances are expected to be ubiquitous during an extreme-mass-ratio inspiral (EMRI). At a resonance, the orbital dynamics is modified in a nontrivial way,…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Edoardo Levati , Alejandro Cárdenas-Avendaño

Full waveform inversion (FWI) requires an accurate estimation of source signatures. Due to the coupling between the source signatures and the subsurface model, small errors in the former can translate into large errors in the latter. When…

Optimization and Control · Mathematics 2021-05-25 Hossein S. Aghamiry , Frichnel W. Mamfoumbi-Ozoumet , Ali Gholami , Stéphane Operto

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

Extreme mass ratio inspirals (EMRIs) -- systems with a compact object orbiting a much more massive (e.g., galactic center) black hole -- are of interest both as a new probe of the environments of galactic nuclei, and their waveforms are a…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Makana Silva , Christopher Hirata

Inspiraling supermassive black hole binary systems with high orbital eccentricity are important sources for space-based gravitational wave (GW) observatories like the Laser Interferometer Space Antenna (LISA). Eccentricity adds orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Balázs Mikóczi , Bence Kocsis , Péter Forgács , Mátyás Vasúth

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

In this work, we developed analytic asymptotic methods for computing the Fourier modes of gravitational waves from post-Newtonian binary systems in the quasi-Keplerian parametrization in the high eccentricity regime. We have also derived…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Xiaolin Liu , Zhoujian Cao

We here present the first analytic effective fly-by (EFB) waveforms designed to accurately capture the burst of gravitational radiation from the closest approach of highly eccentric compact binaries. The waveforms are constructed by…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nicholas Loutrel

Extreme Mass Ratio Inspirals (EMRIs) are important sources for space-borne gravitational wave detectors, such as LISA (Laser Interferometer Space Antenna) and TianQin. Previous EMRI rate studies have focused on the "loss cone" scenario,…

High Energy Astrophysical Phenomena · Physics 2021-06-16 Zhen Pan , Huan Yang

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

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic,…

General Relativity and Quantum Cosmology · Physics 2014-10-15 E. A. Huerta , Prayush Kumar , Sean T. McWilliams , Richard O'Shaughnessy , Nicolas Yunes

Extreme mass ratio inspirals (EMRIs) are among the primary targets for the Laser Interferometer Space Antenna (LISA). The extreme mass ratios of these systems result in relatively weak GW signals, that can be individually resolved only for…

Astrophysics of Galaxies · Physics 2023-02-15 Federico Pozzoli , Stanislav Babak , Alberto Sesana , Matteo Bonetti , Nikolaos Karnesis

The traditional effective-source method is hampered by complex analytical expressions and the inherent smoothness limit, which incur high computational costs and complicate implementation. To overcome these limitations, we introduce the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Chao Zhang , Yungui Gong , Xuchen Lu , Wenting Zhou

Extreme mass ratio inspirals (EMRIs) (capture and inspiral of a compact stellar mass object into a Massive Black Hole (MBH)) are among the most interesting objects for the gravitational wave astronomy. It is a very challenging task to…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Yan Wang , Yu Shang , Stanislav Babak

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

A simple inverse problem for the wave equation requires determination of both the wave velocity in a homogenous acoustic material and the transient waveform of an isotropic point radiator, given the time history of the wavefield at a remote…

Optimization and Control · Mathematics 2022-09-28 William W. Symes

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Dillon Buskirk , Maria C. Babiuc Hamilton
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