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We revisit the problem of scalar and electromagnetic waves impinging upon a Schwarzschild black hole from complex angular momentum techniques. We focus more particularly on the associated differential scattering cross sections. We derive an…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Antoine Folacci , Mohamed Ould El Hadj

The emergence of precision gravity simulators in quantum and fluid systems is opening new avenues for probing curved-spacetime physics and black-hole phenomenology under controlled laboratory conditions. In parallel, advances in…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Leonardo Solidoro , Sebastian H. Völkel , Silke Weinfurtner

In many astrophysical problems, it is important to understand the behavior of functions that come from rotating (Kerr) black hole orbits. It can be particularly useful to work with the frequency domain representation of those functions, in…

Astrophysics · Physics 2016-08-30 Steve Drasco , Scott A. Hughes

In a previous paper, based on the black hole perturbation approach, we formulated a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a Schwarzschild black hole of mass $M$, where…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Sanjay Jhingan , Hiroyuki Nakano , Norichika Sago , Misao Sasaki , Takahiro Tanaka

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

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. The metric perturbation induced by a particle can be divided into two parts, the direct part (or…

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

We semianalytically investigate the scalar self-force experienced in the final stages of extreme mass ratio inspirals of nonspinning scalar particles into supermassive nearly extremal Kerr black holes. We exploit the near-horizon conformal…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Yan Liu

Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Jonathan L. Barton , David J. Lazar , Daniel J. Kennefick , Gaurav Khanna , Lior M. Burko

The theory of instability of accretion disks about black holes, neutron stars or proto-planets, is revisited by means of the recent method of the Spectral Web. The cylindrical accretion disk differential equation is shown to be governed by…

High Energy Astrophysical Phenomena · Physics 2022-04-20 Hans Goedbloed , Rony Keppens

We present an extension of work in an earlier paper showing high precision comparisons between black hole perturbation theory and post-Newtonian (PN) theory in their region of overlapping validity for bound, eccentric-orbit, Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Christopher Munna , Charles R. Evans , Seth Hopper , Erik Forseth

Extreme mass-ratio inspirals (EMRIs) are one of the most highly anticipated sources of gravitational radiation novel to detection by millihertz space-based detectors. To accurately estimate the parameters of EMRIs and perform precision…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Leanne Durkan , Niels Warburton

Recent gravitational wave detections from black hole mergers have underscored the critical role black hole perturbation theory and the Teukolsky equation play in understanding the behaviour of black holes. The separable nature of the…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Andrew Spiers

The traditional effective-source method is hampered by complex analytical expressions and the inherent smoothness limit, which incur high computational costs and complicate implementation. To overcome these limitations, we introduce the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Chao Zhang , Yungui Gong , Xuchen Lu , Wenting Zhou

We study supermassive black hole (SMBH) binary eccentricity of equal-mass galaxy mergers in $N$-body simulations with the KETJU code, which combines the GAGDET-4 fast multipole gravity solver with accurate regularised integration and…

Astrophysics of Galaxies · Physics 2023-09-22 Alexander Rawlings , Matias Mannerkoski , Peter H. Johansson , Thorsten Naab

We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

Fourier transform-based methods enable accurate, dispersion-free simulations of time-domain scattering problems by evaluating solutions to the Helmholtz equation at a discrete set of frequencies sufficient to approximate the inverse Fourier…

Numerical Analysis · Mathematics 2025-10-29 Oscar P. Bruno , Manuel A. Santana

Gravitational waves from compact binary mergers provide a direct measurement of luminosity distance, which, in combination with redshift information, serves as a cosmological probe. In order to statistically infer merger redshifts, the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-18 Hui Tong , Maya Fishbach , Eric Thrane

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond
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