On the stability of AdS black strings

Abstract

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black strings whose conformal infinity is the product of time and $S^{d-3}\times S^1$ are stable for large enough values of the event horizon radius. All topological black strings are also classically stable. We argue that this provides an explicit realization of the Gubser-Mitra conjecture.

8 pages, 4 figures ; reference added

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Cited by in corpus (30)

• Numerical Methods for Finding Stationary Gravitational Solutions
• Black Holes as Lumps of Fluid
• Rotating Black String with Nonlinear Source
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Exact black strings and p-branes in general relativity
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• Perturbations and Stability of Higher-Dimensional Black Holes
• Black hole-black string phase transitions from hydrodynamics
• Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions
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• Einstein-Gauss-Bonnet black strings
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• Phases of Higher Dimensional Black Holes
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• Geometrical properties of the trans-spherical solutions in higher dimensions
• Thermodynamics and Stability of Flat Anti-de Sitter Black Strings
• String or branelike solutions in four-dimensional Einstein gravity in the presence of cosmological constant
• New AdS solitons and brane worlds with compact extra-dimensions
• Charged Nariai black holes on the dark bubble
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$
• Black branes with cosmological constant
• Geodesic motions in extraordinary string geometry
• Gravitational Instabilities of Uniform Black Strings in AdS
• Stability of AdS black strings
• Charged and rotating Black AdS Branes in $n+p+2$ dimensions