Stabilizing Homogeneous Black Strings in AdS

Abstract

It is known that homogenous black strings in flat spacetime are unstable under long wavelength perturbations. Recently, by including scalar fields that depend on the extended coordinates only, homogenous black strings have been constructed in the presence of a negative cosmological constant, therefore implying that generic perturbations will contain both metric and scalar fluctuations. Here we show that for such generic perturbations homogeneous black strings with a negative cosmological constant are perturbatively stable at linear level, regardless the size of the Schwarzschild-AdS black hole located on the brane.

arXiv comment7 pages, no figures

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Cited by in corpus (9)

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• Motion of charged particles around a magnetic black hole/topological star with a compact extra dimension
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• General Relativity from Einstein-Gauss-Bonnet gravity
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Gravitational Instabilities of Uniform Black Strings in AdS
• Representation of compact stars using the black string set--up
• Criticality of Lower Dimensional AdS${}_d$ Black Holes