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The study of periodic orbits in extreme-mass-ratio inspirals is essential for understanding the dynamics of small bodies orbiting supermassive black holes. In this paper, we study the periodic orbits and their corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Shuo Lu , Hao-Jie Lin , Tao Zhu , Yu-Xiao Liu , Xin Zhang

We intend to develop part of the theoretical tools needed for the detection of gravitational waves coming from the capture of a compact object, 1-100 solar masses, by a Supermassive Black Hole, up to a 10 billion solar masses, located at…

General Relativity and Quantum Cosmology · Physics 2012-09-11 Alessandro Spallicci , Patxi Ritter , Sylvain Jubertie , Stèphane Cordier , Sofiane Aoudia

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

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Cesar Merlin , Abhay G. Shah

We investigate the behavior of the regular modified gravity (MOG) static spherically symmetric black hole (BH) under massless scalar perturbation, gravitational perturbation, and massless Dirac perturbation. The dimensionless parameter…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Ahmad Al-Badawi

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

High Energy Physics - Theory · Physics 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith

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

Extreme mass-ratio inspirals are crucial sources for future space-based gravitational wave detections. Gravitational waveforms emitted by extreme mass-ratio inspirals are closely related to the orbital dynamics of small celestial objects,…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Sen Yang , Yu-Peng Zhang , Tao Zhu , Li Zhao , Yu-Xiao Liu

Within the next decade the Laser Interferometer Space Antenna (LISA) is due to be launched, providing the opportunity to extract physics from stellar objects and systems, such as \textit{Extreme Mass Ratio Inspirals}, (EMRIs) otherwise…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Lidia J. Gomes Da Silva , Rodrigo Panosso Macedo , Jonathan E. Thompson , Juan A. Valiente Kroon , Leanne Durkan , Oliver Long

We revisit the classic problem of gravitational wave emission by a test particle plunging into a Schwarzschild black hole both in the frequency-domain Regge-Wheeler-Zerilli formalism and in the semirelativistic approximation. We use, and…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 K. Glampedakis , N. Andersson

Time-domain (TD) Bayesian inference is important in ringdown analysis for gravitational wave (GW) astronomy. The validity of this method has been well studied by Isi and Farr [1]. Using GW190521 as an example, we study the TD method in…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Hai-Tian Wang , Lijing Shao

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

More recently, Fernandes \cite{Fernandes:2023vux} discovered analytic stationary and axially-symmetric black hole solutions within semiclassical gravity, driven by the trace anomaly. The study unveils some distinctive features of these…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Tieguang Zi , Peng-Cheng Li

In the past few decades, the waveform community has made advances in producing waveforms that span the inspiral-merger-ringdown of comparable-mass-ratio black hole binaries using advances in post-Newtonian and numerical relativity (NR)…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Hector Iglesias , Leanne Durkan , Deirdre Shoemaker

In this work we present an extension of the time domain phenomenological model IMRPhenomT for gravitational wave signals from binary black hole coalescences to include subdominant harmonics, specifically the $(l=2, m=\pm 1)$, $(l=3, m=\pm…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Héctor Estellés , Sascha Husa , Marta Colleoni , David Keitel , Maite Mateu-Lucena , Cecilio García-Quirós , Antoni Ramos-Buades , Angela Borchers

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. It is known that the metric perturbation induced by a particle can be divided into two parts, the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hiroyuki Nakano , Norichika Sago , Misao Sasaki

This article explores the motion of massive particles in the gravitational field of a modified gravity (MOG) black hole (BH), characterized by the parameter $\alpha$. Using the Hamiltonian formalism, the geodesic equations and the effective…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

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

We investigate the influence of the generalized Compton wavelength (GCW), emerging from a three-dimensional dynamical quantum vacuum (3D DQV) on Schwarzschild-like black hole spacetimes, motivated by the work of Fiscaletti…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Reggie C. Pantig , Ali Ovgun , Gaetano Lambiase
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