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The detection of gravitational waves resulting by the LIGO-Virgo-Kagra collaboration has inaugurated a new era in gravitational physics, providing an opportunity to test general relativity and its modifications in the strong gravity regime.…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Pratik Wagle , Dongjun Li , Yanbei Chen , Nicolas Yunes

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 study gravitational-wave emission by turbulent flows in accretion disks around spinning black holes or neutron stars. We aim to understand how turbulence can stochastically excite black hole quasinormal ringing and contribute to a…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Chen Yuan , Vitor Cardoso , Francisco Duque , Ziri Younsi

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

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

In linear perturbation theory for Kerr black holes, there are two equivalent formalisms, namely the Teukolsky and the Sasaki-Nakamura (SN) formalism. Typically, one defaults to the Teukolsky formalism, especially when calculating extreme…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Yucheng Yin , Rico K. L. Lo , Xian Chen

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

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner-Nordstr\"om geometry using the Newman Penrose formalism. We show that the information of the physical gravitational signal is…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Claudia Moreno , Juan Carlos Degollado , Darío Núñez , Carlos Rodriguez-Leal

Nonspherical stellar collapse to a black hole is one of the most promising gravitational wave sources for gravitational wave detectors. We numerically study gravitational waves from a slightly nonspherical stellar collapse to a black hole…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Tomohiro Harada , Hideo Iguchi , Masaru Shibata

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

The computation of gravitational radiation generated by the coalescence of inspiralling binary black holes is nowdays one of the main goals of numerical relativity. Perturbation theory has emerged as an ubiquitous tool for all those…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manuela Campanelli

Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Adam Pound , Barry Wardell

We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Andrea Taracchini , Alessandra Buonanno , Gaurav Khanna , Scott A. Hughes

We study second order gravitational perturbations on plane wave spacetimes from both the metric and curvature perturbation points of view. For the former, we explicitly use the isometries of the background to introduce tensor oscillator…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Kwinten Fransen , David Pereñiguez , Jaime Redondo-Yuste

The goal of much research in relativity is to understand gravitational waves generated by a strong-field dynamical spacetime. Quantities of particular interest for many calculations are the Weyl scalar $\psi_4$, which is simply related to…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Lior M. Burko , Scott A. Hughes

We present a numerical study of the time evolution of perturbations of rotating black holes. The solutions are obtained by integrating the Teukolsky equation written as a first-order in time, coupled system of equations, in a form that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 W. Krivan , P. Laguna , P. Papadopoulos , N. Andersson

We review analytic methods to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive compact body, based on the black hole perturbation theory. There exist two different methods of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Misao Sasaki , Hideyuki Tagoshi

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We compute the gravitational waveform associated with a radially infalling particle in a Schwarzschild black hole working in the center-of-mass system and in a post-Newtonian (PN) approximation. Our results reach the highest accuracy level…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Giorgio Di Russo , Donato Bini

We revisit the problem of the emission of gravitational waves from a test mass orbiting and thus perturbing a Kerr black hole. The source term of the Teukolsky perturbation equation contains a Dirac delta function which represents a point…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pranesh A. Sundararajan , Gaurav Khanna , Scott A. Hughes