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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

We study the gravitational radiation emitted by a massive point particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole. We consider both even- and odd-parity perturbations and describe them…

General Relativity and Quantum Cosmology · Physics 2018-10-08 Antoine Folacci , Mohamed Ould El Hadj

Extreme mass ratio inspirals (EMRIs), as a core target for future space-based gravitational wave detection, offer crucial observational grounds for testing strong-field gravitational theories and classifying black holes through their…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Xiuqin He , Zhaoyi Xu , Meirong Tang

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

We investigate the dynamics of charged and neutral particles in the vicinity of a Schwarzschild-like black hole immersed in an external magnetic field. We find that the innermost stable circular orbits (ISCOs) for charged particles are…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Sojida Mannobova , Gulnisa Abdukayumova , Farruh Atamurotov , Ahmadjon Abdujabbarov , X. Gao , G. Mustafa

We consider the equation of motion of a charged particle or a charged compact object in curved space-time, under the reaction of electromagnetic radiation and also consider a physical situation such that the charged particle or compact…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Arnab Sarkar , Amna Ali , Salah Nasri

The satellite observatory LISA will be capable of detecting gravitational waves from extreme mass ratio inspirals (EMRIs), such as a small black hole orbiting a supermassive black hole. The gravitational effects of the much smaller mass can…

General Relativity and Quantum Cosmology · Physics 2009-04-02 Mark V. Berndtson

By interpreting the difference between the original Regge-Wheeler potential and its piecewise step approximation as perturbative effects induced by the external environment of the black hole, we investigate the stability of Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Liang-Bi Wu , Libo Xie , Yu-Sen Zhou , Zong-Kuan Guo , Rong-Gen Cai

Extreme mass-ratio inspirals (EMRIs), comprising a stellar-mass compact object (CO) orbiting a supermassive black hole (BH), are key targets for future space-based gravitational-wave (GW) observatories. Incorporating the spin of the…

High Energy Astrophysical Phenomena · Physics 2026-03-26 Qiuxin Cui , 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

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

We calculate the self-force experienced by a point scalar charge, a point electric charge, and a point mass moving in a weakly curved spacetime characterized by a time-independent Newtonian potential. The self-forces are calculated by first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael J. Pfenning , Eric Poisson

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

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…

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

The gravitational waves emitted by massive black hole binaries can be affected by a variety of environmental effects, which, if detected, could inform astrophysics and cosmology. We here study how gravitational waves emitted by black holes…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Tomás Ferreira Chase , Diana López Nacir , Nicolás Yunes

We investigate the imprints of chaos in gravitational waves from extreme-mass-ratio inspirals configuration, where a stellar massive object, confined in a harmonic potential, orbits a supermassive Schwarzschild-like black hole embedded in a…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai

The tidal deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Paolo Pani , Andrea Maselli

This is the first of two papers on computing the self-force in a radiation gauge for a particle moving in circular, equatorial orbit about a Kerr black hole. In the EMRI (extreme-mass-ratio inspiral) framework, with mode-sum…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Abhay G. Shah , John L. Friedman , Tobias S. Keidl

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