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In this paper, we study the dynamics of scalar hair around a Schwarzchild black hole. The scalar hair is sourced by the Gauss-Bonnet invariant with a linear coupling. We work perturbatively in the coupling constant and ignore the…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Yu-Peng Zhang , Yong-Qiang Wang , Shao-Wen Wei , Yu-Xiao Liu

In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\"om black hole. Previous authors have analysed this problem in the time domain; we…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Srijit Bhattacharjee , Bidisha Chakrabarty , David D. K. Chow , Partha Paul , Amitabh Virmani

Recently, a new nonlinear mechanism for black hole scalarization, different from the standard spontaneous scalarization, was demonstrated to exist for scalar Gauss-Bonnet theories in which no tachyonic instabilities can occur. Thus…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Kalin V. Staykov , Daniela D. Doneva

We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Marc Casals , Adrian C. Ottewill

It has been recently shown that nonlinear effects emerging at the time of the generation of the quasi-normal modes are necessary to model ringdowns from black hole mergers. In this note, we describe how nonlinerarities also arise when…

General Relativity and Quantum Cosmology · Physics 2023-02-03 Alex Kehagias , Antonio Riotto

We report evidence for nonlinear modes in the ringdown stage of the gravitational waveform produced by the merger of two comparable-mass black holes. We consider both the coalescence of black hole binaries in quasicircular orbits and…

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We investigate quadratic quasinormal mode coupling in black hole spacetime through numerical simulations of single perturbed black holes using both numerical relativity and second-order black hole perturbation theory. Focusing on the…

Based on the hyperboloidal framework, we research the dynamical process of charged de Sitter black holes scattered by a charged scalar field. From the linear perturbation analysis, with the coupling strength within a critical interval, the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Zhen-Tao He , Qian Chen , Yu Tian , Cheng-Yong Zhang , Hongbao Zhang

Quasinormal modes and power-law late-time decay tails of a charged scalar field on a charged black hole have been considered in the literature, and here we use the hyperboloidal formalism to present an independent comparison to prior…

General Relativity and Quantum Cosmology · Physics 2026-01-21 João D. Álvares , Alex Vañó-Viñuales

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

The ringdown gravitational wave signal arising e.g., in the final stage of a black hole binary merger, contains important information about the properties of the remnant, and can potentially be used to perform clean tests of general…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Taillte May , Sizheng Ma , Justin L. Ripley , William E. East

In this paper, we discuss the effects of nonlinear electrodynamics (NED) on non-rotating black holes, parametrized by the field coupling parameter $\beta$ and magnetic charge parameter $P$ in detail. Particularly, we survey physical…

General Relativity and Quantum Cosmology · Physics 2022-01-06 Mert Okyay , Ali Övgün

It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decays universally as…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Wei-Liang Qian , Kai Lin , Cai-Ying Shao , Bin Wang , Rui-Hong Yue

The tidal Love numbers parametrize the conservative induced tidal response of self-gravitating objects. It is well established that asymptotically-flat black holes in four-dimensional general relativity have vanishing Love numbers. In…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Oscar Combaluzier-Szteinsznaider , Lam Hui , Luca Santoni , Adam R. Solomon , Sam S. C. Wong

We elaborate on a criterion for the emergence of instability in the fundamental mode recently observed by Cheung {\it et al.}, as a universal phenomenon in the context of black hole perturbations. Such instability is characterized by an…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Wei-Liang Qian , Guan-Ru Li , Ramin G. Daghigh , Stefan Randow , Rui-Hong Yue

We show that the quasinormal spectrum of gravitational perturbations of Schwarzschild - de Sitter black holes contains a new branch of purely imaginary modes. These modes are not algebraically special and we showed that the sum of them form…

General Relativity and Quantum Cosmology · Physics 2022-12-05 R. A. Konoplya , A. Zhidenko

Recent research has revealed a novel nonlinear mechanism, distinct from the linear superradiant instability, which triggers the black hole bomb phenomenon. Introducing a massive complex scalar field with nonlinear self-interactions drives…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Lang Zhao , Lin Chen , Cheng-Yong Zhang

In this study, we investigate a nonlinear mechanism driving the formation of scalarized rotating black holes within a scalar-Gauss-Bonnet gravity framework that includes an additional squared Gauss-Bonnet term. With the specific coupling…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

In the analysis of a binary black hole coalescence, it is necessary to include gravitational self-interactions in order to describe the transition of the gravitational wave signal from the merger to the ringdown stage. In this paper we…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Macarena Lagos , Lam Hui