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The observation of the inspiral and merger of compact binaries by the LIGO/Virgo collaboration ushered in a new era in the study of strong-field gravity. We review current and future tests of strong gravity and of the Kerr paradigm with…

General Relativity and Quantum Cosmology · Physics 2018-04-06 Emanuele Berti , Kent Yagi , Nicolás Yunes

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Marc Favata

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Luc Blanchet

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

Inspiralling binary systems of neutron stars or black holes are promising sources of gravitational radiation detectable by large-scale laser interferometric gravitational observatories, such as the US LIGO and Italian-French VIRGO projects.…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Clifford M. WILL

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

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

When a particle moves around a Kerr black hole, it radiates gravitational waves.Some of these waves are absorbed by the black hole. We calculate such absorption of gravitational waves induced by a particle of mass mu in a circular orbit on…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Hideyuki Tagoshi , Shuhei Mano , Eiichi Takasugi

In a binary merger with a small mass ratio, as the secondary body approaches the innermost stable circular orbit (ISCO) of the primary black hole, the motion transitions from the adiabatic inspiral to the plunge governed by the geodesic…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Daiki Watarai

The nature of gravitational waves in a generalized gravitation theory is investigated. The linearized field equations and the metric tensor quadrupole moment power and the decrease in radius of an inspiralling binary system of two compact…

General Relativity and Quantum Cosmology · Physics 2016-11-17 J. W. Moffat

An extreme mass ratio inspiral takes place when a compact stellar object is inspiraling into a supermassive black hole due to gravitational radiation reaction. Gravitational waves (GWs) from this system can be calculated using the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We study extreme mass ratio inspirals occurring in modified gravity, for which the system is modeled by a small compact object with scalar charge spiraling into a supermassive Kerr black hole. Besides the tensorial gravitational waves…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Hong Guo , Yunqi Liu , Chao Zhang , Yungui Gong , Wei-Liang Qian , Rui-Hong Yue

We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Andrea Taracchini , Alessandra Buonanno , Gaurav Khanna , Scott A. Hughes

We examine the dynamics of a neutral particle around a Kerr-Newman black hole, and in particular focus on the effects of the charge of the spinning black hole on the motion of the particle. We first consider the innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Chen-Yu Liu , Da-Shin Lee , Chi-Yong Lin

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

Under the assumptions of General Relativity (GR), gravitational waves propagate at the speed of light and their mediation can be represented as a particle through a massless graviton. We investigate the impact and observability of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-24 Margaret Johnston , Marios Kalomenopoulos , Carl-Johan Haster

An extreme mass ratio inspiral consists of two parts: adiabatic inspiral and plunge. The plunge trajectory from the innermost stable circular orbit (ISCO) is special (somewhat independent of initial conditions). We write an expression for…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Shahar Hadar , Barak Kol