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We numerically solve the inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations in the time domain. We obtain the gravitational waveforms produced by a point-particle of mass $\mu$ traveling around a Schwarzschild black hole of mass M…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karl Martel

We examine how future gravitational-wave measurements from merging black holes (BHs) can be used to infer the shape of the black-hole mass function, with important implications for the study of star formation and evolution and the…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-07 Ely D. Kovetz , Ilias Cholis , Patrick C. Breysse , Marc Kamionkowski

Future space-based laser interferometry experiments such as LISA are expected to detect $\cal O$(100--1000) stellar-mass compact objects (e.g., black holes, neutron stars) falling into massive black holes in the centers of galaxies, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Otto A. Hannuksela , Kenny C. Y. Ng , Tjonnie G. F. Li

Extreme-mass ratio inspirals (EMRIs), compact binaries with small mass ratios $\epsilon\ll 1$, will be important sources for low-frequency gravitational wave detectors. Almost all EMRIs will evolve through important transient orbital…

General Relativity and Quantum Cosmology · Physics 2021-10-05 Zachary Nasipak , Charles R. Evans

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-10-01 Priscilla Canizares , Carlos F. Sopuerta

The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA. The main difficulty lies in the evaluation of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Pablo Laguna

We introduce a new kludge scheme to model the dynamics of generic extreme mass-ratio inspirals (stellar compact objects spiraling into a spinning supermassive black hole) and to produce the gravitational waveforms that describe the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Carlos F. Sopuerta , Nicolás Yunes

Accurate calculation of the gradual inspiral motion in an extreme mass-ratio binary system, in which a compact-object inspirals towards a supermassive black-hole requires calculation of the interaction between the compact-object and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

In this paper we consider Roche accretion in an Extreme Mass-Ratio Inspiral (EMRI) binary system formed by a star orbiting a massive black hole. The ultimate goal is to detect the mass and spin of the black hole and provide a test of…

High Energy Astrophysical Phenomena · Physics 2018-09-25 Lixin Dai , Roger D. Blandford

We give a short personally-biased review on the recent progress in our understanding of gravitational radiation reaction acting on a point particle orbiting a black hole. The main motivation of this study is to obtain sufficiently precise…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takahiro Tanaka

The Event Horizon Telescope (EHT) has revealed the horizon-scale radiation of Sagittarius A* (Sgr A*), our galaxy's central supermassive black hole, offering a new platform to test gravitational theories. The next step involves studying…

High Energy Astrophysical Phenomena · Physics 2025-01-16 Kotaro Moriyama , Alejandro Cruz-Osorio , Yosuke Mizuno , Indu K. Dihingia , Akhil Uniyal

TThe detection of gravitational waves from merging binary black holes has led to a bound on the mass of a hypothetical massive carrier of the gravitational interaction predicted by some modified gravity theories (a massive graviton, for…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Clifford M. Will

Gravitational waves from extreme mass-ratio inspirals (EMRIs) will enable sub-percent measurements of massive black hole parameters and provide access to the demographics of compact objects in galactic nuclei. During the LISA mission,…

High Energy Astrophysical Phenomena · Physics 2026-01-22 Shashwat Singh , Christian E. A. Chapman-Bird , Christopher P. L. Berry , John Veitch

Gravitational wave detections are starting to allow us to probe the physical processes in the evolution of very massive stars through the imprints they leave on their final remnants. Stellar evolution theory predicts the existence of a gap…

High Energy Astrophysical Phenomena · Physics 2020-10-22 Robert Farmer , Mathieu Renzo , Selma de Mink , Maya Fishbach , Stephen Justham

Extreme mass-ratio inspirals (EMRI) are one of the most sensitive probes of black hole spacetimes with gravitational wave measurements. In this work, we systematically analyze the dynamics of an EMRI system near orbital resonances, assuming…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Zhen Pan , Huan Yang , Laura Bernard , Béatrice Bonga

Extreme-mass-ratio inspirals (EMRIs) carry valuable information about their surrounding astrophysical environments. Over the course of their long-term evolution, interactions between the secondary object and the accretion disk can produce…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Jian-Dong Liu , Wen-Biao Han , Hiromichi Tagawa

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

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

An outstanding prediction of general relativity is the fact that the angular momentum $S$ of an isolated black hole with mass $\mu$ is limited by the Kerr bound, $S\leq G\mu^2/c$. Testing this cornerstone is challenging due to the…

General Relativity and Quantum Cosmology · Physics 2020-10-22 Gabriel Andres Piovano , Andrea Maselli , Paolo Pani

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra
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