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The space based interferometer LISA will be capable of detecting the gravitational waves emitted by stellar mass black holes or neutron stars slowly inspiralling into the supermassive black holes found in the centre of most galaxies. The…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Christopher J. Moore , Alvin J. K. Chua , Jonathan R. Gair

We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving in Kerr spacetime with self-force…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Maarten van de Meent

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

We model the inspiral of a compact stellar-mass object into a massive nonrotating black hole including all dissipative and conservative first-order-in-the-mass-ratio effects on the orbital motion. The techniques we develop allow inspirals…

General Relativity and Quantum Cosmology · Physics 2016-03-22 Thomas Osburn , Niels Warburton , Charles R. Evans

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

This is a brief report on time-domain numerical simulations of extreme-mass-ratio binaries based on finite element methods. We discuss a new technique for solving the perturbative equations describing a point-like object orbiting a…

Astrophysics · Physics 2009-11-11 Carlos F. Sopuerta

We propose to use gravitational waves from extreme mass ratio inspirals (EMRI), composed of a boson star and a supermassive black hole in the center of galaxies, as a new method to search for boson stars. Gravitational waves from EMRI have…

High Energy Physics - Phenomenology · Physics 2019-09-25 Huai-Ke Guo , Kuver Sinha , Chen Sun

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

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

Recent observations discovered that some repeating fast radio bursts (FRBs) show a large value and complex variations of Faraday rotation measures (RMs). The binary systems containing a supermassive black hole (SMBH) and a neutron star (NS)…

High Energy Astrophysical Phenomena · Physics 2023-09-19 Rui-Nan Li , Zhen-Yin Zhao , Zhifu Gao , F. Y. Wang

In this paper, we investigate the impact of loop quantum gravity (LQG) on extreme mass-ratio inspirals (EMRIs), and the results indicate that LQG effects cause the orbital decay to occur faster compared to the Schwarzschild case.…

General Relativity and Quantum Cosmology · Physics 2024-09-20 Guoyang Fu , Yunqi Liu , Bin Wang , Jian-Pin Wu , Chao Zhang

Extreme mass-ratio inspirals (EMRIs), consisting of a secondary (stellar mass) black hole (BH) orbiting around a supermassive BH, are one of the primary targets for future spaceborne gravitational wave (GW) detectors. The spin of the…

High Energy Astrophysical Phenomena · Physics 2025-05-23 Qiuxin Cui , Wen-Biao Han , Zhen Pan

Extreme mass ratio inspirals (EMRIs) are compact binary systems characterized by a mass-ratio $q=m/M$ in the range $~10^{-9}-10^{-4}$ and represent primary gravitational wave (GW) sources for the forthcoming Laser Interferometer Space…

Peters' formula is an analytical estimate of the time-scale of gravitational wave (GW)-induced coalescence of binary systems. It is used in countless applications, where the convenience of a simple formula outweighs the need for precision.…

Astrophysics of Galaxies · Physics 2021-07-07 Lorenz Zwick , Pedro R. Capelo , Elisa Bortolas , Veronica Vazquez-Aceves , Lucio Mayer , Pau Amaro-Seoane

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

The inspirals of stellar-mass mass compact objects into massive black holes in the centres of galaxies are one of the most important sources of gravitational radiation for space-based detectors like LISA or eLISA. These extreme-mass-ratio…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Pau Amaro-Seoane , Jonathan R. Gair , Adam Pound , Scott A. Hughes , Carlos F. Sopuerta

We produce the gravitational waveforms for the extreme mass ratio inspiral systems (EMRIs) of binary stars moving around central supermassive black hole (SBH), or called B-EMRIs. We calculate the external orbits of the binary stars via the…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Kun Meng , Hongsheng Zhang , Xi-Long Fan , Yuan Yong , Fei Du

There is a strong need for high-accuracy and efficient modeling of extreme-mass-ratio binary black hole systems because these are strong sources of gravitational waves that would be detected by future observatories. In this article, we…

General Relativity and Quantum Cosmology · Physics 2012-06-04 Justin McKennon , Gary Forrester , Gaurav Khanna

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