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We uncover late-time gravitational-wave tails in fully nonlinear 3+1 dimensional numerical relativity simulations of merging black holes, using the highly accurate SpEC code. We achieve this result by exploiting the strong magnification of…

We investigate the late-time tail behavior in gravitational waves from merging eccentric binary black holes (BBH) using black hole perturbation theory. For simplicity, we focus only on the dominant quadrupolar mode of the radiation. We…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna , Scott E. Field , Maarten van de Meent , Alessandra Buonanno

We present a comprehensive analysis of late-time tails in gravitational radiation from merging spin-aligned eccentric binary black holes, using high-accuracy point-particle black hole perturbation theory simulations. We simulate the…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna

We investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Kunihito Ioka , Masa-aki Sakagami

Nonlinear tails in black hole perturbations, arising from second-order effects, present a distinct departure from the well-known Price tail of linear theory. We present an analytical derivation of the power law indices and amplitudes for…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Siyang Ling , Sabeela Shah , Sam S. C. Wong

We study the late-time relaxation of a perturbed Schwarzschild black hole, driven by a source term representing an infalling particle in generic orbits. We consider quasi-circular and eccentric binaries, dynamical captures and radial…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Marina De Amicis , Simone Albanesi , Gregorio Carullo

We prove the global leading-order late-time asymptotic behaviour of solutions to inhomogeneous wave equations on dynamical black hole exterior backgrounds that settle down to Schwarzschild backgrounds with arbitrarily small decay rates. In…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Dejan Gajic , Lionor Kehrberger

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

Nonlinear effects play a fundamental role in the late-time ringdown of black holes, with direct implications for gravitational-wave observations. For massive fields, these dynamics become richer, yet their nonlinear signatures remain poorly…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Caiying Shao , Zhen-Tao He , Jiageng Jiao , Jingqi Lai , Jun-Xi Shi , Yu Tian , Dandan Yuan , Hongbao Zhang

We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko , Amos Ori

In numerical computations of Einstein's equations for black hole spacetimes, it will be necessary to use approximate boundary conditions at a finite distance from the holes. We point out here that ``tails,'' the inverse power-law decrease…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Elspeth W. Allen , Elizabeth Buckmiller , Lior M. Burko , Richard H. Price

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack

Power law tails induced by nonlinearities of General Relativity (``sourced'' or ``nonlinear'' tails) were recently shown to dominate the late time waveform of Schwarzschild black hole ringdowns. We extend the analytical results regarding…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Siyang Ling , Sam S. C. Wong

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

We present a detailed descriptive analysis of the gravitational radiation from black-hole binary mergers of nonspinning black holes, based on numerical simulations of systems varying from equal-mass to a 6:1 mass ratio. Our primary goal is…

General Relativity and Quantum Cosmology · Physics 2010-05-12 John G. Baker , William D. Boggs , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

The late-time tail behavior of massive scalar fields is studied analytically in a stationary axisymmetric EMDA black hole geometry. It is shown that the asymptotic behavior of massive perturbations is dominated by the oscillatory inverse…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Qiyuan Pan , Jiliang Jing

We introduce a general method for understanding the late time tail for solutions to wave equations on asymptotically flat spacetimes with odd space dimensions. In particular, for a large class of equations, we prove that the precise late…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Jonathan Luk , Sung-Jin Oh

The effects of bulk motion comptonization on the spectral formation in a converging flow onto a black hole are investigated. The problem is tackled by means of both a fully relativistic, angle-dependent transfer code and a semi-analytical,…

Astrophysics · Physics 2009-11-07 Roberto Turolla , Silvia Zane , Lev Titarchuk

We discuss the nonlinear origin of the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in even-dimensional spacetimes. Using third-order perturbation method, we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski
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