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We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on Gregory-Laflamme instabilities. In the first…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Vasilis Niarchos , Niels A. Obers

Gregory and Laflamme showed that certain nonextremal black strings (and p-branes) are unstable to linearized perturbations. It is widely believed that this instability will cause the black string horizon to classically pinch off and then…

High Energy Physics - Theory · Physics 2009-11-07 Gary T. Horowitz , Kengo Maeda

Motivated by the existence of black holes with various topologies in four-dimensional spacetimes with a negative cosmological constant, we study axisymmetric static solutions describing any large distortions of Schwarzschild-anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. Tomimatsu

We investigate the geometry of four dimensional black hole solutions in the presence of stringy higher curvature corrections to the low energy effective action. For certain supersymmetric two charge black holes these corrections drastically…

High Energy Physics - Theory · Physics 2014-11-18 Veronika Hubeny , Alexander Maloney , Mukund Rangamani

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

We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a…

High Energy Physics - Theory · Physics 2009-11-13 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

In previous papers we have shown how strings in a two-dimensional target space reconcile quantum mechanics with general relativity, thanks to an infinite set of conserved quantum numbers, ``W-hair'', associated with topological soliton-like…

High Energy Physics - Theory · Physics 2009-09-11 J. Ellis , N. Mavromatos , D. Nanopoulos

We explore via linearized perturbation theory the Gregory-Laflamme instability of the NUT string (i.e the D=4 Lorentzian NUT solution uplifted to five dimensions). Our results indicate that the Gregory-Laflamme instability persists in the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

An internal singularity of a string four-dimensional black hole with second order curvature corrections is discussed. A restriction to a minimal size of a neutral black hole is obtained in the frame of the model considered. Vacuum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. O. Alexeyev , M. V. Sazhin

Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Beroiz , Gustavo Dotti , Reinaldo J. Gleiser

The nonuniform black strings branch, which emerges from the critical Gregory-Laflamme string, is numerically constructed in dimensions 6 <= D <= 11 and extended into the strongly non-linear regime. All the solutions are more massive and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Evgeny Sorkin

We develop the perturbation theory for R^2 string-corrected black hole solutions in d dimensions. After having obtained the master equation and the alpha'-corrected potential under tensorial perturbations of the metric, we study the…

High Energy Physics - Theory · Physics 2009-11-11 Filipe Moura

We consider a perturbative Gauss-Bonnet term supplementing the Einstein-Hilbert action, and evaluate its effect on the spectrum of the scalar mode that triggers the Gregory-Laflamme instability of black strings in five dimensional General…

High Energy Physics - Theory · Physics 2023-02-22 Carla Henríquez-Báez , Julio Oliva , Marcelo Oyarzo , Marcel I. Yáñez Reyes

We consider quadratic curvature perturbation to the Myers-Perry black hole in five dimensions at the linear level in the coupling constant. The solution can then be solved order by order in terms of two dimensionless angular momentum…

High Energy Physics - Theory · Physics 2026-01-01 Liang Ma , H. Lu

In these notes we describe recent progress in understanding finite size corrections to the black hole entropy. Much of the earlier work concerning quantum black holes has been in the limit of large charges when the area of the even horizon…

High Energy Physics - Theory · Physics 2012-08-24 Atish Dabholkar , Suresh Nampuri

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

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

We investigate quantum aspects of the three dimensional (BTZ) black holes. The discussions are devoted to two subjects: the thermodynamics of quantum scalar fields and the string theory in the three dimensional black hole backgrounds. We…

High Energy Physics - Theory · Physics 2008-02-03 Yuji Satoh

The generalization of the black hole in three-dimensional spacetime to include an electric charge Q in addition to the mass M and the angular momentum J is given. The field equations are first solved explicitly when Q is small and the…

High Energy Physics - Theory · Physics 2009-10-31 Cristian Martinez , Claudio Teitelboim , Jorge Zanelli

There are several approaches to quantum gravitational corrections of black hole thermodynamics. String theory and loop quantum gravity, by direct analysis on the basis of quantum properties of black holes, show that in the entropy-area…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kourosh Nozari , A. S. Sefiedgar