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The inspiral of stellar-mass compact objects, like neutron stars or stellar-mass black holes, into supermassive black holes provides a wealth of information about the strong gravitational-field regime via the emission of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Christopher P. L. Berry , Robert H. Cole , Priscilla Cañizares , Jonathan R. Gair

XOB provides an almost eXact One-Body approach for the conservative part of binary merger dynamics of general relativity, which applies to the full three stages of the merger process, and allows the feature of gravitational waves be related…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Ding-fang Zeng

Gravitational waves emitted by black-hole binary systems have the highest signal-to-noise ratio in LIGO and Virgo detectors when black-hole spins are aligned with the orbital angular momentum and extremal. For such systems, we extend the…

We compare and contrast the emission of gravitational waves and waveforms for the recently established "helicoidal-drifting-sequence" of a test particle around a Kerr black hole with the publicly available waveform templates of…

High Energy Astrophysical Phenomena · Physics 2018-02-28 J. F. Rodriguez , J. A. Rueda , R. Ruffini

We improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed…

General Relativity and Quantum Cosmology · Physics 2013-04-17 Thibault Damour , Alessandro Nagar , Sebastiano Bernuzzi

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

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

The study of spinning bodies moving in curved spacetime has relevance to binary black hole systems with large mass ratios, as well as being of formal interest. At zeroth order in a binary's mass ratio, the smaller body moves on a geodesic…

General Relativity and Quantum Cosmology · Physics 2023-10-23 Lisa V. Drummond , Alexandra G. Hanselman , Devin R. Becker , Scott A. Hughes

Extreme mass ratio bursts (EMRBs) have been proposed as a possible source for future space-borne gravitational wave detectors, such as the Laser Interferometer Space Antenna (LISA). These events are characterized by long-period,…

Astrophysics · Physics 2008-11-26 Nicolas Yunes , Carlos F. Sopuerta , Louis J. Rubbo , Kelly Holley-Bockelmann

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

We examine a loop quantum gravity (LQG) inspired rotating black hole, treating it as a central supermassive black hole (SMBH) in an extreme mass-ratio inspiral (EMRI) system, where an inspiralling object exhibits eccentric motion around the…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Tieguang Zi , Shailesh Kumar

How to calculate the gravitational waves (GWs) of Extreme-mass-ratio-inspirals (EMRIs) in a highly accurate and efficient way still keeps a challenge. In this paper, we present a so-called fully recalibrated waveforms for EMRIs with high…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Ran Cheng , Wen-Biao Han

Extreme mass ratio inspirals (EMRIs) are excellent sources for space-based observatories to explore the properties of black holes and test no-hair theorems. We consider EMRIs with a charged compact object inspiralling onto a Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Chao Zhang , Hong Guo , Yungui Gong , Bin Wang

We study a point scalar charge in circular orbit around a topological star, a regular, horizonless soliton emerging from dimensional compactification of Einstein-Maxwell theory in five dimensions, which could describe qualitative properties…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Marco Melis , Richard Brito , 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

The forthcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA) should enable the detection of Extreme Mass Ratio Inspirals (EMRIs), in which a stellar-mass compact object gradually inspirals into a…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Michal Stratený , Georgios Lukes-Gerakopoulos , Ondřej Zelenka

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

We explore the prospects for Advanced LIGO to detect gravitational waves from neutron stars and stellar mass black holes spiraling into intermediate-mass ($M\sim 50 M_\odot$ to $350 M_\odot$) black holes. We estimate an event rate for such…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Duncan A. Brown , Jeandrew Brink , Hua Fang , Jonathan R. Gair , Chao Li , Geoffrey Lovelace , Ilya Mandel , Kip S. Thorne

A new scheme for computing dynamical evolutions and gravitational radiations for intermediate-mass-ratio inspirals (IMRIs) based on an effective one-body (EOB) dynamics plus Teukolsky perturbation theory is built in this paper. In the EOB…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Wen-Biao Han , Zhoujian Cao