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We explore a classical instability of spacetimes of dimension $D>4$. Firstly, we consider static solutions: generalised black holes and brane world metrics. The dangerous mode is a tensor mode on an Einstein base manifold of dimension…

High Energy Physics - Theory · Physics 2009-10-07 Gary Gibbons , Sean A. Hartnoll

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li , Zi-zhi Wang

The last seven years has produced a growing body of evidence which concludes that the Cauchy horizon in black hole-de Sitter spacetimes is classically stable when the surface gravity at the cosmological event horizon is greater than that at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers

We study the linear stability of asymptotically anti-de Sitter black holes in general relativity in spacetime dimension $d\ge4$. Our approach is an adaptation of the general framework of Hollands and Wald, which gives a stability criterion…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Stephen R. Green , Stefan Hollands , Akihiro Ishibashi , Robert M. Wald

This paper explores infrared quantum effects in the de Sitter space. The notion of "eternal manifolds" is introduced and it is shown that in most cases the de Sitter space doesn't belong to this class. It is unstable under small…

High Energy Physics - Theory · Physics 2008-11-26 A. M. Polyakov

The unexpected discovery of hairy black hole solutions in theories with scalar fields simply by considering asymptotically Anti de-Sitter, rather than asymptotically flat, boundary conditions is analyzed in a way that exhibits in a clear…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Daniel Sudarsky , Jose Antonio Gonzalez

This paper investigates basic properties of the de Sitter static patch using simple two-point functions in the probe approximation. We find that de Sitter equilibrates in a superdiffusive manner, unlike most physical systems which…

High Energy Physics - Theory · Physics 2024-03-22 Alexey Milekhin , Jiuci Xu

It is generally believed the way to resolve the black hole information paradox in string theory is to embed the black hole in anti-deSitter spacetime -- without of course claiming that Schwarzschild-AdS is a realistic spacetime. Here we…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

We examine the thermodynamics and stability of 5-dimensional flat anti-de Sitter (AdS) black strings, locally asymptotically anti-de Sitter spacetimes whose spatial sections are AdS black holes with Ricci flat horizons. We find that there…

High Energy Physics - Theory · Physics 2008-12-30 Si Chen , Kristin Schleich , Donald M. Witt

We study the global dynamics of free massive scalar fields on general, globally stationary, asymptotically AdS black hole backgrounds with Dirichlet-, Neumann- or Robin- boundary conditions imposed on $\psi$ at infinity. This class includes…

General Relativity and Quantum Cosmology · Physics 2014-07-29 Gustav H. Holzegel , Claude M. Warnick

In this paper we investigate, from the dynamical systems perspective, the evolution of an scalar field with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type II. We consider an homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Dagoberto Escobar , Carlos R. Fadragas , Genly Leon , Yoelsy Leyva

We outline the construction of metastable de Sitter vacua of type IIB string theory. Our starting point is highly warped IIB compactifications with nontrivial NS and RR three-form fluxes. By incorporating known corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Shamit Kachru , Renata Kallosh , Andrei Linde , Sandip P. Trivedi

We consider a class of nonlinear ordinary differential equations of the second order with parameters. We establish conditions for perturbations of the coefficients of the equation under which the zero solution is asymptotically stable.…

Classical Analysis and ODEs · Mathematics 2022-12-22 G. V. Demidenko , K. S. Myagkikh

In this paper, we are interested to explore stable configurations of $d$-dimensional gravastars constructed from the interior $d$-dimensional de Sitter and exterior $d$-dimensional Schwarzschild/Reissner-Nordstr\"om (de Sitter) black holes…

General Relativity and Quantum Cosmology · Physics 2022-05-10 M. Sharif , Faisal Javed

We consider explicit type II string constructions of backgrounds containing warped and squashed anti de Sitter spaces. These are obtained via T duality from brane intersections including dyonic black strings, plane waves and monopoles. We…

High Energy Physics - Theory · Physics 2010-07-20 Domenico Orlando , Linda I. Uruchurtu

We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then look for new solutions in previously unexplored solution classes, and find some: (anti-) de…

High Energy Physics - Theory · Physics 2022-07-13 David Andriot , Ludwig Horer , Paul Marconnet

The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a surface in a background geometry (eg Minkowski or…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Tetsuya Shiromizu , Ryotaku Suzuki , Kentaro Tanabe , Takahiro Tanaka

We present further no-go theorems for classical de Sitter vacua in Type II string theory, i.e., de Sitter constructions that do not invoke non-perturbative effects or explicit supersymmetry breaking localized sources. By analyzing the…

High Energy Physics - Theory · Physics 2015-05-28 Gary Shiu , Yoske Sumitomo

We study the black string solutions in the Einstein-Gauss-Bonnet(EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations that describe the dynamics of the EGB black strings. The…

High Energy Physics - Theory · Physics 2017-10-25 Bin Chen , Peng-Cheng Li , Cheng-Yong Zhang

We obtain new results on the stability of discrete dark solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrodinger equation, following the analysis of our previous paper [Physica D 212, 1-19 (2005)]. We derive…

Pattern Formation and Solitons · Physics 2008-02-13 D. E. Pelinovsky , P. G. Kevrekidis