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Extreme-mass ratio inspirals (EMRIs), compact binaries with small mass ratios $\epsilon\ll 1$, will be important sources for low-frequency gravitational wave detectors. Almost all EMRIs will evolve through important transient orbital…

General Relativity and Quantum Cosmology · Physics 2021-10-05 Zachary Nasipak , Charles R. Evans

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

An Extreme Mass Ratio Inspiral (EMRI), which corresponds to a small compact object inspirals around a massive black hole in the center of a galaxy, is one of the most important sources for future space-borne gravitational-wave (GW)…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Yi-Xiang Wei , Xian-Long Zhu , Jian-dong Zhang , Jianwei Mei

We investigate geodesic motion and gravitational-wave signatures of charged black holes with scalar hair. Using the effective potential approach, we analyze marginally bound orbits and innermost stable circular orbits, showing how their…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Weike Deng , Sheng Long , Qin Tan , Jiliang Jing

Space-based gravitational-wave interferometers such as LISA will be sensitive to the inspiral of stellar mass compact objects into black holes with masses in the range of roughly 10^5 solar masses to (a few) 10^7 solar masses. During the…

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

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

We generalize the worldline EFT formalism developed in [4-9] to calculate the non-conservative tidal effects on spinning black holes in a long wavelength approximation that is valid to all orders in the magnitude of the spin. We present…

High Energy Physics - Theory · Physics 2021-06-30 Walter D. Goldberger , Jingping Li , Ira Z. Rothstein

Subjected to the tidal field of its companion, each component of a coalescing black hole binary suffers a slow change in its mass (tidal heating) and spin (tidal torquing) during the inspiral and merger. This effect modifies the phase and…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Samanwaya Mukherjee , Khun Sang Phukon , Sayak Datta , Sukanta Bose

We compute gravitational waves from inspiraling stellar-mass compact objects on the equatorial plane of a massive spinning black hole (BH). Our inspiral orbits are computed by taking into account the adiabatic change of orbital parameters…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Ryuichi Fujita , Masaru Shibata

An extreme mass ratio inspiral takes place when a compact stellar object is inspiraling into a supermassive black hole due to gravitational radiation reaction. Gravitational waves (GWs) from this system can be calculated using the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We present the state-of-the-art waveform model WaSABI-C for quasicircular inspirals of spinning black hole binaries with aligned or anti-aligned spins. Our model synthesizes the most up-to-date first- and second-order gravitational…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Loïc Honet , Josh Mathews , Geoffrey Compère , Adam Pound , Barry Wardell , Gabriel Andres Piovano , Maarten van de Meent , Niels Warburton

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

(abridged) We consider a secular orbital evolution of a supermassive binary black hole (SBBH) with unequal masses $M_p$ and $M_s < M_p$ in a central part of a non-spherical nuclear star cluster (NSC). When the mass of NSC inside the orbit…

Astrophysics of Galaxies · Physics 2025-07-17 Pavel B. Ivanov , Alexander G. Polnarev

We present $\texttt{ENIGMA}$, a time domain, inspiral-merger-ringdown waveform model that describes non-spinning binary black holes systems that evolve on moderately eccentric orbits. The inspiral evolution is described using a consistent…

Acoustic black hole is becoming an attractive topic in recent years, for it open-up new direction for experimental / observational explorations of black holes. In this work, the gravitational bending of acoustic Schwarzschild black hole is…

General Relativity and Quantum Cosmology · Physics 2023-04-11 Chen-Kai Qiao , Mi Zhou

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

We consider the importance of the second-order dissipative self force for gravitational wave dephasing for an extreme or intermediate mass ratio system moving along a quasi-circular Schwarzschild orbit. For the first-order self force we use…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Lior M. Burko , Gaurav Khanna

The dynamics of the leading self-force (0SF) order, corresponding to the geodesic motion of a light body in the exact background of a heavy body, are explicitly derived for the first time using a flat space scattering amplitude-based…

High Energy Physics - Theory · Physics 2024-07-15 Stavros Mougiakakos , Pierre Vanhove

The fundamental process of detecting and examining the polarization modes of gravitational waves plays a pivotal role in enhancing our grasp on the precise mechanisms behind their generation. A thorough investigation is essential for…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Shailesh Kumar , Rishabh Kumar Singh , Abhishek Chowdhuri , Arpan Bhattacharyya