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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

Extreme mass-ratio inspirals (EMRIs) are expected to have considerable eccentricity when emitting gravitational waves (GWs) in the LISA band. Developing GW templates that remain phase accurate over these long inspirals requires the use of…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Benjamin Leather , Niels Warburton

Extreme-mass-ratio inspirals (EMRIs) will be an important type of astrophysical source for future space-based gravitational-wave detectors. There is a trade-off between accuracy and computational speed for the EMRI waveform templates…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Alvin J. K. Chua

We present a shifted-geodesic framework for computing gravitational-wave fluxes from spinning test bodies moving on bound orbits of Kerr black holes. The method provides a simple and efficient means of evaluating energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Lisa V. Drummond , Scott A. Hughes , Viktor Skoupý , Philip Lynch , Gabriel Andres Piovano

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

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

Detecting individual extreme-mass-ratio inspirals (EMRIs) is a major science goal of future space-based gravitational wave observatories such as Laser Interferometer Space Antenna (LISA) and TianQin. However, matched-filtering can be…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Lingyuan Ji , Liang Dai

Extreme mass-ratio inspirals (EMRIs), in which a solar mass compact object is whirling around a supermassive black hole, act as precise tracers of the spacetime geometry and astrophysical environment around the supermassive black hole.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Mostafizur Rahman , Takuya Takahashi

Adiabatic operations are powerful tools for robust quantum control in numerous fields of physics, chemistry and quantum information science. The inherent robustness due to adiabaticity can, however, be impaired in applications requiring…

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

Adiabatic binary inspiral in the small mass ratio limit treats the small body as moving along a geodesic of a large Kerr black hole, with the geodesic slowly evolving due to radiative backreaction. Up to initial conditions, geodesics are…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Scott A. Hughes

This work elaborates on a detailed analysis of the novel characteristics of gravitational waves (GWs) generated by extreme mass ratio inspirals (EMRIs) within the framework of modified gravity (MOG). Our study begins by exploring the…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Xiongying Qiao , Zhong-Wu Xia , Qiyuan Pan , Hong Guo , Wei-Liang Qian , Jiliang Jing

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

When an EMRI in a perturbed integrable gravitational field, such as a deformed Kerr black hole, undergoes a prolonged resonance, the frequencies that engage in resonance retain a fixed rational ratio, despite experiencing adiabatic changes…

General Relativity and Quantum Cosmology · Physics 2023-07-03 Areti Eleni , Theocharis A. Apostolatos

In this article we consider prospects for detecting extreme mass ratio inspirals (EMRIs) using gravitational wave (GW) observations by a future space borne interferometric observatory eLISA. We start with a description of EMRI formation…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Stanislav Babak , Jonathan R. Gair , Robert H. Cole

Extreme mass-ratio inspirals pose a difficult challenge in terms of both search and parameter estimation for upcoming space-based gravitational-wave detectors such as LISA. Their signals are long and of complex morphology, meaning they…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Philippa S. Cole , James Alvey , Lorenzo Speri , Christoph Weniger , Uddipta Bhardwaj , Davide Gerosa , Gianfranco Bertone

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) provide unique probes of near-horizon dissipation through the tidal heating. We present a full Bayesian analysis of tidal heating in equatorial eccentric EMRIs by performing injection-recovery studies…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Zhong-Wu Xia , Sheng Long , Qiyuan Pan , Jiliang Jing , Wei-Liang Qian

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