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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

Black holes in asymptotically anti-de Sitter (AdS) spacetimes have been the subject of intense scrutiny, including detailed frequency-domain analysis and full nonlinear evolutions. Remarkably, studies of linearized perturbations in the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vitor Cardoso , Gaurav Khanna

Schwarzschild black holes evolve toward their static configuration by emitting gravitational waves, which decay over time following a power law at fixed spatial positions. We derive this power law analytically for the second-order even…

General Relativity and Quantum Cosmology · Physics 2025-04-09 Alex Kehagias , Antonio Riotto

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of…

High Energy Physics - Theory · Physics 2016-11-15 Oscar J. C. Dias , Jorge E. Santos

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…

We study the instability of higher-dimensional rotating anti-de Sitter black holes through fragmentation. Fragmentation occurs when black holes rotate too fast to sustain their horizon, and then the black holes are broken into small pieces.…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Bogeun Gwak , Bum-Hoon Lee

Extremal and near extremal black holes are unstable, unless they are protected by supersymmetry. For black holes in AdS$_3 \times S^3$, we study the range of parameters that bound the unstable region, the fate of extremal black holes that…

High Energy Physics - Theory · Physics 2025-07-08 Finn Larsen , Siyul Lee

We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new…

High Energy Physics - Theory · Physics 2015-09-16 Zhong-Ying Fan , H. Lu

Generic scalar perturbations on a fixed slowly rotating Kerr-AdS black hole background exhibit stable trapping, that is, the scalar field remains in a region between the exterior of the black hole and the AdS boundary for a very long time,…

High Energy Physics - Theory · Physics 2025-09-18 Pau Figueras , Lorenzo Rossi

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 late-time behaviors of massive scalar fields in general static and spherically symmetric extremal black hole spacetimes in arbitrary dimensions. We show the existence of conserved quantities on the extremal black hole horizons for…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Takuya Katagiri , Masashi Kimura

We investigate whether arbitrarily small perturbations in global AdS space are generically unstable and collapse into black holes on the time scale set by gravitational interactions. We argue that current evidence, combined with our…

High Energy Physics - Theory · Physics 2016-12-20 Fotios V. Dimitrakopoulos , Ben Freivogel , Matthew Lippert , I-Sheng Yang

We study black holes in AdS-like spacetimes, with the horizon given by an arbitrary positive curvature Einstein metric. A criterion for classical instability of such black holes is found in the large and small black hole limits. Examples of…

High Energy Physics - Theory · Physics 2014-11-18 Sean A. Hartnoll

In this study, we investigate the real-time dynamics during the spontaneous deformation of an unstable spherical black hole in asymptotically anti-de Sitter (AdS) spacetime. For the initial value, the static solutions with spherical…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Zhuan Ning , Qian Chen , Yu Tian , Xiaoning Wu , Hongbao Zhang

We study gravitational perturbations of Schwarzschild-AdS black holes in $d = 5$ and identify a regime of late-time power-law decay for smooth initial data. Based on an analysis of the quasinormal mode spectrum, we predict and characterise…

High Energy Physics - Theory · Physics 2025-06-25 John R. V. Crump , Jorge E. Santos

The Anti-de Sitter (AdS) black hole with lattice structure plays an essential role in the study of the optical conductivity in holographic approach. We investigate the instability of this sort of black holes which may lead to the…

High Energy Physics - Theory · Physics 2020-09-02 Yi Ling , Meng-He Wu

In this paper, we study an extended phase space thermodynamics of a nonlinearly charged AdS black hole. We examine both the local and global stabilities, and possible phase transition of the black hole solutions. Finally, we compute…

General Relativity and Quantum Cosmology · Physics 2020-03-31 S. N. Sajadi , N. Riazi , S. H. Hendi

The ringdown phase of a perturbed black hole is conventionally described by a linear superposition of quasinormal modes. However, as the AdS black brane approaches its final global equilibrium, this linear quasinormal mode description…

High Energy Physics - Theory · Physics 2025-12-09 Yan Liu , Hao-Tian Sun

We study the thermodynamical and geometrical behaviour of the black holes that arise as solutions of the heterotic string action. We discuss the near-horizon scaling behaviour of the solutions that are described by two-dimensional Anti-de…

High Energy Physics - Theory · Physics 2009-10-31 M. Cadoni , C. N. Colacino

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…

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