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Black holes regain their static configuration by emitting ringdown gravitational waves, whose amplitude decays in time following a power law at fixed spatial positions. We show that the nonlinear decay power law may be obtained by simple…

General Relativity and Quantum Cosmology · Physics 2025-07-24 A. Ianniccari , L. Lo Bianco , A. Riotto

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

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

We present the first alternative mechanisms to trigger black hole bomb phenomena beyond the famous superradiant instability. By incorporating nonlinear self-interaction into the massive charged scalar field in general relativity, we…

General Relativity and Quantum Cosmology · Physics 2024-07-15 Cheng-Yong Zhang , Qian Chen , Yuxuan Liu , Yu Tian , Bin Wang , Hongbao Zhang

We examine perturbations of a massive scalar field around spherically symmetric, brane-localized black holes. Although the ringdown and asymptotic tails of various brane-world black holes have been extensively studied, there has been no…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Alexey Dubinsky

In this paper, we study the quasinormal mode and late-time tail of charged massless scalar perturbations of a black hole in the generalized Rastall gravity. The black hole metric in question is spherically symmetric, accompanied by a…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Cai-Ying Shao , Yu-Jie Tan , Cheng-Gang Shao , Kai Lin , Wei-Liang Qian

Linear field perturbations of a black hole are described by the Green function of the wave equation that they obey. After Fourier decomposing the Green function, its two natural contributions are given by poles (quasinormal modes) and a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Marc Casals , Adrian C. Ottewill

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

Massive fields can exist in long-lived configurations around black holes. We examine how the gravitational wave signal of a perturbed black hole is affected by such `dirtiness' within linear theory. As a concrete example, we consider the…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Juan Carlos Degollado , Carlos A. R. Herdeiro

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

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

Stationary, asymptotically flat, black hole solutions of the vacuum field equations of General Relativity belong to the Kerr family. But how does one approach this state, dynamically? Linearized fluctuations decay at late times, at fixed…

Recent results show that when non-linear electrodynamics is considered the no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which are valid for the cases of neutral black holes and charged black holes in the Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

In the context of Einstein-Maxwell-scalar theory with a nonminimal coupling between the electromagnetic and scalar field, we study linear (non)radial perturbations and nonlinear radial dynamics of spherically symmetric black holes. In a…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Marco Melis , Fabrizio Corelli , Robin Croft , Paolo Pani

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Songbai Chen , Jiliang Jing , Qiyuan Pan

Black holes gradually settle into their static configuration by emitting gravitational waves, whose amplitude diminish over time according to a power-law decay at fixed spatial locations. We show that the nonlinear tails in the presence of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Alex Kehagias , Antonio Riotto

We study analytically, via the Newman-Penrose formalism, the late time decay of scalar, electromagnetic, and gravitational perturbations outside a realistic rotating (Kerr) black hole. We find a power-law decay at timelike infinity, as well…

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

The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior of the field as recorded by a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko , G. Khanna

We extend the frequency-domain analysis of quasinormal modes in a dynamical, spherically symmetric black hole spacetime undergoing constant-rate mass evolution. In particular, we report a novel feature of the spectrum: the presence of…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lodovico Capuano , Thomas Lovo , Gorka Prieto-Varela , Subhodeep Sarkar , Adrien Kuntz , Enrico Barausse , Dawood Kothawala

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