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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

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the most promising sources of gravitational waves (GWs) for space-based detectors like the Laser Interferometer Space Antenna (LISA). EMRIs consist of a compact stellar object orbiting around…

General Relativity and Quantum Cosmology · Physics 2012-06-05 Priscilla Canizares , Jonathan R. Gair , Carlos F. Sopuerta

Compact remnants on orbits with peri-apses close to the Schwarzschild radius of a massive black hole (MBH) lose orbital energy by emitting gravitational waves (GWs) and spiral in. Scattering with other stars allows successful inspiral of…

Astrophysics · Physics 2009-11-11 Clovis Hopman

Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors. In such kind of systems, the compact objects usually orbit around the central supermassive black holes with…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Chen Zhang , Wen-Biao Han , Shu-Cheng Yang

Supermassive black holes and their surrounding dense stellar environments nourish a variety of astrophysical phenomena. We focus on the distribution of stellar-mass black holes around the supermassive black hole and the consequent formation…

Astrophysics of Galaxies · Physics 2024-12-11 Barak Rom , Itai Linial , Karamveer Kaur , Re'em Sari

We investigate the orbital dynamics and gravitational wave signatures of neutral Extreme Mass Ratio Inspirals (EMRIs) in the spacetime of a Kerr black hole immersed in an asymptotically uniform magnetic field, described by the exact…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Xiang-Qian Li , Hao-Peng Yan , Xiao-Jun Yue

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

The inspiral of a stellar-mass compact object into a massive ($\sim 10^{4}$-$10^{7} M_{\odot}$) black hole produces an intricate gravitational-wave signal. Due to the extreme-mass ratios involved, these systems complete $\sim…

To investigate the imprint on the gravitational-wave emission from extreme mass-ratio inspirals in non-pure Kerr spacetimes, we have studied the ``kludge'' waveforms generated in highly-accurate, numerically-generated spacetimes containing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrico Barausse , Luciano Rezzolla , David Petroff , Marcus Ansorg

Extreme-mass-ratio inspirals (EMRIs) are promising gravitational-wave (GW) sources for space-based GW detectors. EMRI signals typically have long durations, ranging from several months to several years, necessitating highly accurate GW…

General Relativity and Quantum Cosmology · Physics 2025-01-27 Lu-Jia Xu , Shu-Cheng Yang , Wen-Biao Han , Xing-Yu Zhong , Run-Dong Tang , Yuan-Hao Zhang

The detection of the gravitational waves emitted in the capture process of a compact object by a massive black hole is known as an extreme-mass ratio inspiral (EMRI) and represents a unique probe of gravity in the strong regime and is one…

Astrophysics of Galaxies · Physics 2019-07-03 Pau Amaro-Seoane

We present the first orbit-integrated self force effects for an IMRI or EMRI source, specifically the effects of its conservative piece on the orbit and on the waveform. We consider the quasi-circular motion of a particle in the spacetime…

General Relativity and Quantum Cosmology · Physics 2012-07-13 Lior M. Burko , Kristen A. Lackeos

Extreme Mass Ratio Inspirals (EMRIs) can be classified as dry EMRIs and wet EMRIs based on their formation mechanisms. Dry (or the "loss-cone") EMRIs, previously considered as the main EMRI sources for the Laser Interferometer Space…

High Energy Astrophysical Phenomena · Physics 2021-09-08 Zhen Pan , Zhenwei Lyu , Huan Yang

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

Gravitational wave emission from extreme mass ratio binaries (EMRBs) should be detectable by the joint NASA-ESA LISA project, spurring interest in analytical and numerical methods for investigating EMRBs. We describe a discontinuous…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Scott E. Field , Jan S. Hesthaven , Stephen R. Lau

We describe a new kludge scheme to model the dynamics of generic extreme-mass-ratio inspirals (EMRIs; stellar compact objects spiraling into a spinning supermassive black hole) and their gravitational-wave emission. The Chimera scheme is a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carlos F. Sopuerta , Nicolas Yunes

The inhomogeneous Zerilli equation is solved in time-domain numerically with the Chebyshev spectral collocation method to investigate a radial-infall of the point particle towards a Schwarzschild black hole. Singular source terms due to the…

Computational Physics · Physics 2009-12-08 Jae-Hun Jung , Gaurav Khanna , Ian Nagle

Extreme mass ratio inspirals (EMRIs) occur when stellar-mass compact objects begin a gravitational wave (GW) driven inspiral into massive black holes. EMRI waveforms can precisely map the surrounding spacetime, making them a key target for…

Astrophysics of Galaxies · Physics 2023-04-27 Ismail Qunbar , Nicholas C. Stone

We extend the work of Ryan on mapping the spacetime of the central object of an extreme mass-ratio inspiral (EMRI) by using gravitational waves (GWs) emitted by the system, which may be observed in future missions such as LISA. Whether the…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Sayak Datta , Sukanta Bose