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This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack

Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force calculations avoid delta functions altogether, using instead a finite and extended…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ian Vega , Barry Wardell , Peter Diener

We present a numerical code for calculating the self force on a scalar charge moving in a bound (eccentric) geodesic in the equatorial plane of a Kerr black hole. We work in the frequency domain and make use of the method of extended…

General Relativity and Quantum Cosmology · Physics 2015-02-27 Niels Warburton , Leor Barack

When a stellar-mass compact object is captured by a supermassive black hole located in a galactic centre, the system losses energy and angular momentum by the emission of gravitational waves. Subsequently, the stellar compact object evolves…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Priscilla Canizares , Carlos F. Sopuerta

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

Detection of gravitational waves from compact binaries involving at least one intermediate mass black hole, and component mass ratios in the range $0.1$-$10^{-4}$, are among the primary sources for future space detectors with target strain…

General Relativity and Quantum Cosmology · Physics 2026-02-25 M Laxman , Ryuichi Fujita , Chandra Kant Mishra

Prescriptions for numerical self-force calculations have traditionally been designed for frequency-domain or (1+1) time-domain codes which employ a mode decomposition to facilitate in carrying out a delicate regularization scheme. This has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Peter Diener , Wolfgang Tichy , Steven Detweiler

We introduce a force correction term to better model the dynamical friction (DF) experienced by a supermassive black hole (SMBH) as it orbits within its host galaxy. This new approach accurately follows the orbital decay of a SMBH and…

Astrophysics of Galaxies · Physics 2015-06-12 Michael Tremmel , Fabio Governato , Marta Volonteri , Thomas R. Quinn

Formal solutions to the mode equations for both spherically symmetric black holes and Bose-Einstein condensate acoustic black holes are obtained by writing the spatial part of the mode equation as a linear Volterra integral equation of the…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Paul R. Anderson , Alessandro Fabbri , Roberto Balbinot

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Oliver Long

We examine the backreaction effect of the enhanced small-scale scalar perturbations from the sound speed resonance (SSR) mechanism for primordial black hole formation in Dirac-Born-Infeld (DBI) inflation on background as well as curvature…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-27 Bichu Li , Chao Chen , Bo Wang

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 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

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Niels Warburton

Whilst in galaxy-size simulations, supermassive black holes (SMBH) are entirely handled by sub-grid algorithms, computational power now allows the accretion radius of such objects to be resolved in smaller scale simulations. In this paper,…

High Energy Astrophysical Phenomena · Physics 2018-05-29 Ricarda Sylvia Beckmann , Julien Devriendt , Adrianne Slyz

We present an improved numerical kludge waveform model for circular, equatorial EMRIs. The model is based on true Kerr geodesics, augmented by radiative self-force corrections derived from perturbative calculations, and in this paper for…

General Relativity and Quantum Cosmology · Physics 2011-09-22 E. A. Huerta , Jonathan R. Gair

In this work, we introduce a spectral-infinite element method for solving Einstein's constraint equations in hyperbolic form. As an application of this, we use this method for computing asymptotically flat perturbations of a Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Leon Escobar-Diaz , Paula Bran

Gravitational waves from binary black hole mergers provide a glimpse of gravitational dynamics in its most extreme observable regime, potentially enabling precision tests of general relativity (GR) and of the Kerr description of black…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Ayush Roy , Lorenzo Küchler , Adam Pound , Rodrigo Panosso Macedo

We present an implementation of the dual foliation generalized harmonic gauge (DF-GHG) formulation within the pseudospectral code bamps. The formalism promises to give greater freedom in the choice of coordinates that can be used in…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Maitraya K Bhattacharyya , David Hilditch , K Rajesh Nayak , Sarah Renkhoff , Hannes R. Rüter , Bernd Bruegmann

In this work we explore a numerical technique, based on the spherical harmonic decomposition and the discretization of the radial coordinate through \v{C}eby\v{s}\"ev polynomial interpolation, for the computation of quasi-bound states of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Giuseppe Lingetti