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We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

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

Massive objects orbiting a near-extreme Kerr black hole quickly plunge into the horizon after passing the innermost stable circular orbit. The plunge trajectory is shown to be related by a conformal map to a circular orbit. Conformal…

High Energy Physics - Theory · Physics 2014-10-07 Shahar Hadar , Achilleas P. Porfyriadis , Andrew Strominger

After black holes collide, the remnant settles to a stationary state by emitting gravitational waves. Once non-linearities subside, these ringdown waves are dominated by exponentially-damped sinusoids, or quasinormal modes. We develop a…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Adrian Ka-Wai Chung , Nicolas Yunes

We discuss a new ringdown frequency mode for vacuum perturbations of the Kerr black hole. We evolve initial data for the vacuum radial Teukolsky equation using a near horizon approximation, and find a frequency mode analogous to that found…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Aaron Zimmerman , Yanbei Chen

Black hole perturbation theory for Kerr black holes is best studied in the Newman Penrose Formalism, in which gravitational waves are described as perturbations in the Weyl scalars $\psi_0$ and $\psi_4$, with the governing equation being…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Manu Srivastava , Yanbei Chen

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 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

This work provides gravitational wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to linear in spin approximation. To achieve this, we have developed a new frequency…

General Relativity and Quantum Cosmology · Physics 2023-03-30 Viktor Skoupý , Georgios Lukes-Gerakopoulos , Lisa V. Drummond , Scott A. Hughes

It is well known that Teukolsky equation of gravitational perturbations provides a powerful tool for the investigation of the ringdown phase of a binary black hole merger, but it is applicable only for final configurations in the Kerr…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Zhong-Heng Li

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We calculate analytically asymptotic values of quasi-normal frequencies of four-dimensional Kerr black holes by solving the Teukolsky wave equation. We obtain an expression for arbitrary spin of the wave in agreement with Hod's proposal…

High Energy Physics - Theory · Physics 2015-06-26 Suphot Musiri , George Siopsis

Analyzing test particles falling into a Kerr black hole, we study gravitational waves in Brans-Dicke theory of gravity. First we consider a test particle plunging with a constant azimuthal angle into a rotating black hole and calculate the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Motoyuki Saijo , Hisa-aki Shinkai , Kei-ichi Maeda

Recently, the possibility of detecting gravitational wave echoes in the data stream subsequent to the binary black hole mergers observed by LIGO was suggested. Motivated by this suggestion, we presented templates of echoes based on black…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Norichika Sago , Takahiro Tanaka

With the aim of testing massive gravity in the context of black hole physics, we investigate the gravitational radiation emitted by a massive particle plunging into a Schwarzschild black hole from slightly below the innermost stable…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Mohamed Ould El Hadj

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Yasushi Mino , Jeandrew Brink

We provide a fully analytical approach to calculate the nonlinearities of the gravitational waves in the ringdown of a Kerr black hole in the eikonal limit. The corresponding quasi-normal modes are associated to the orbits of a closed…

General Relativity and Quantum Cosmology · Physics 2025-07-03 D. Perrone , A. Kehagias , A. Riotto

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

It has long been known that null unstable geodesics are related to the characteristic modes of black holes-- the so called quasinormal resonances. The basic idea is to interpret the free oscillations of a black hole in the eikonal limit in…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Shahar Hod

We numerically implement a quasi-spherical approximation scheme for computing gravitational waveforms for coalescing black holes, testing it against angular momentum by applying it to Kerr black holes. As error measures, we take the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hisa-aki Shinkai , Sean A. Hayward
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