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I give a brief review of the Gregory-Laflamme instability as originally found for a 5-dimensional black string. This is a chapter of the book "Black Holes in Higher Dimensions" to be published by Cambridge University Press (editor: G.…

General Relativity and Quantum Cosmology · Physics 2011-08-01 Ruth Gregory

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no…

High Energy Physics - Theory · Physics 2010-12-03 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

We study evolution of gravitational perturbations of black strings. It is well known that for all wavenumber less than some threshold value, the black string is unstable against scalar type of gravitational perturbations, which is named the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , Keiju Murata , Jiro Soda , A. Zhidenko

We investigate the effect of superradiant scattering of gravitational perturbations on the stability of rotating black strings, focusing on the six dimensional equal-spinning Myers-Perry black string. We find that rapidly rotating black…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Oscar J. C. Dias , Takaaki Ishii , Keiju Murata , Jorge E. Santos , Benson Way

We study the Gregory-Laflamme instability of 5D compactified, electrically charged black strings. We consider static, linear perturbations of these solutions and derive master equation for these perturbations. Using numerical analysis we…

High Energy Physics - Theory · Physics 2015-05-13 Valeri P. Frolov , Andrey A. Shoom

We initiate the study of dynamical instabilities of higher-dimensional black holes using the blackfold approach, focusing on asymptotically flat boosted black strings and singly-spinning black rings in $D\ge5$. We derive novel analytic…

High Energy Physics - Theory · Physics 2019-05-14 Jay Armas , Enrico Parisini

The evolution of small perturbations around rotating black branes and strings, which are low energy solutions of string theory, are investigated. For simplicity, we concentrate on the Kerr solution times transverse flat extra dimensions,…

High Energy Physics - Theory · Physics 2024-02-05 Vitor Cardoso , José P. S. Lemos

We revisit the classical stability of Schwarzschild black hole in fourth-order theories of gravity. On the contrary of the stability of this black hole, it turns out that the linearized perturbations exhibit unstable modes featuring the…

General Relativity and Quantum Cosmology · Physics 2013-08-09 Yun Soo Myung

We describe the behavior of a perturbed 5-dimensional black string subject to the Gregory-Laflamme instability. We show that the horizon evolves in a self-similar manner, where at any moment in the late-time development of the instability…

General Relativity and Quantum Cosmology · Physics 2011-06-28 Luis Lehner , Frans Pretorius

Black branes and strings are generally unstable against a certain sector of gravitational perturbations. This is known as the Gregory-Laflamme instability. It has been recently argued that there exists another general instability affecting…

High Energy Physics - Theory · Physics 2010-02-03 Vitor Cardoso , Shijun Yoshida

We investigate the Gregory-Laflamme instability for black strings carrying KK-momentum along the internal direction. We demonstrate a simple kinematical relation between the thresholds of the classical instability for the boosted and static…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Hovdebo , R. C. Myers

We reproduce and extend the previous studies of Lehner and Pretorius of the endpoint of the Gregory-Laflamme instability of black strings in five space-time dimensions. We consider unstable black strings of fixed thickness and different…

High Energy Physics - Theory · Physics 2023-02-22 Pau Figueras , Tiago França , Chenxia Gu , Tomas Andrade

It has been conjectured that higher-dimensional rotating black holes become unstable at a sufficiently large value of the rotation, and that new black holes with pinched horizons appear at the threshold of the instability. We search…

High Energy Physics - Theory · Physics 2010-01-07 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Jorge E. Santos , Roberto Emparan

Many and very general arguments indicate that the event horizon behaves as a stretched membrane. We explore this analogy by associating the Gregory-Laflamme instability of black strings with a classical membrane instability known as…

High Energy Physics - Theory · Physics 2008-11-26 Vitor Cardoso , Oscar J. C. Dias

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is to find initial data that describes a small perturbation of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Pau Figueras , Keiju Murata , Harvey S. Reall

We explore via linearized perturbation theory the Gregory-Laflamme instability of rotating black strings with equal magnitude angular momenta. Our results indicate that the Gregory-Laflamme instability persists up to extremality for all…

High Energy Physics - Theory · Physics 2009-11-13 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

We describe the behavior of 5-dimensional black strings, subject to the Gregory-Laflamme instability. Beyond the linear level, the evolving strings exhibit a rich dynamics, where at intermediate stages the horizon can be described as a…

High Energy Physics - Theory · Physics 2010-10-26 Luis Lehner , Frans Pretorius

We take into account higher derivative R4 corrections in M-theory and construct quantum black hole and black string solutions in 11 dimensions up to the next leading order. The quantum black string is stretching along the 11th direction and…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Yoshifumi Hyakutake

We find the Gregory-Laflamme $s$-mode instability of the non-rotating BTZ black hole in new massive gravity. This instability shows that the BTZ black hole could not exist as a stable static solution to the new massive gravity. For…

High Energy Physics - Theory · Physics 2013-12-16 Taeyoon Moon , Yun Soo Myung

Black strings, one class of higher dimensional analogues of black holes, were shown to be unstable to long wavelength perturbations by Gregory and Laflamme in 1992, via a linear analysis. We revisit the problem through numerical solution of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , L. Lehner , I. Olabarrieta , R. Petryk , F. Pretorius , H. Villegas
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