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We construct uniform black-string solutions in Einstein-Gauss-Bonnet gravity for all dimensions $d$ between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation…

High Energy Physics - Theory · Physics 2014-11-20 Y. Brihaye , T. Delsate , E. Radu

It was first pointed out by Press and Teukolsky that a system composed of a spinning Kerr black hole surrounded by a reflecting mirror may develop instabilities. The physical mechanism responsible for the development of these exponentially…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya

In this paper, a direct rigorous mathematical proof of the Gregory-Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz for the perturbation and a gauge choice, the linearised…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Sam C. Collingbourne

We investigate the development of the magnetic Rayleigh-Taylor instability at the inner edge of an astrophysical disk around a spinning central black hole. We solve the equations of general relativity that govern small amplitude…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Demetrios Papadopoulos , Ioannis Contopoulos

Ultra-compact, horizonless objects such as gravastars, boson stars, wormholes and superspinars can mimick most of the properties of black holes. Here we show that these "black hole mimickers" will most likely develop a strong ergoregion…

General Relativity and Quantum Cosmology · Physics 2010-02-16 Paolo Pani , Vitor Cardoso , Mariano Cadoni , Marco Cavaglia

We consider non-spherically symmetric perturbations of the uncharged black string/flat black brane in the large dimension (D) limit of general relativity. We express the perturbations in a simplified form using variables introduced by…

High Energy Physics - Theory · Physics 2016-06-08 Amruta Sadhu , Vardarajan Suneeta

We present results from numerical solution of Einstein's equation in five dimensions describing evolution of rapidly rotating black holes. We show, for the first time, that the rapidly rotating black holes in higher dimensions are unstable…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Masaru Shibata , Hirotaka Yoshino

We consider hairy black hole solutions of Einstein-Yang-Mills-Dilaton theory, coupled to a Gauss-Bonnet curvature term, and we study their stability under small, spacetime-dependent perturbations. We demonstrate that the stringy corrections…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Kanti , E. Winstanley

We study the stability of AdS black hole holes rotating in a single two plane for tensor-type gravitational perturbations in $D > 6$ space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the…

High Energy Physics - Theory · Physics 2009-07-26 Hideo Kodama , R. A. Konoplya , A. Zhidenko

We investigate the superradiant instability of Ay\'on-Beato-Garc\'ia-de Sitter (ABG-dS) black holes under massless charged scalar perturbations using both time-domain evolutions and frequency-domain computations. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Yizhi Zhan , Hengyu Xu , Haowei Chen , Shao-Jun Zhang

We perform a comprehensive study of the linear stability of rotating BTZ black holes under massive scalar field perturbations with double-trace boundary conditions. While BTZ black holes are stable under standard Dirichlet and Neumann…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Oscar J. C. Dias , David Sola Gil , Jorge E. Santos

We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yun Soo Myung

We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions. This theory admits analytic uniform black strings that in the transverse section are…

High Energy Physics - Theory · Physics 2015-05-08 Alex Giacomini , Julio Oliva , Aldo Vera

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

We investigate the linear stability of the two known branches of spherically-symmetric black holes in Quadratic Gravity. We extend previous work on the long-wavelength (Gregory-Laflamme) instability of the Schwarzschild branch to a…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Aaron Held , Jun Zhang

In a recent publication, we have demonstrated that differentially rotating stars admit new channels of black hole formation via fragmentation instabilities. Since a higher order instability of this kind could potentially transform a…

Some black hole mimickers, as well as black strings and other higher-dimensional spacetimes, exhibit stable light rings-regions where light or high-frequency gravitational waves can be trapped. In these regions, linear perturbations decay…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Jaime Redondo-Yuste , Alejandro Cárdenas-Avendaño

It is argued that many non-extremal black branes exhibit a classical Gregory-Laflamme instability if, and only if, they are locally thermodynamically unstable. For some black branes, the Gregory-Laflamme instability must therefore disappear…

High Energy Physics - Theory · Physics 2009-11-07 Harvey S. Reall

Light rings (LRs) - closed circular orbits of null geodesics - are key features of both black holes and horizonless ultracompact objects. While unstable LRs are relevant for the observation of black hole images, stable LRs have been…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Pedro V. P. Cunha
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