Black Strings and p-Branes are Unstable

Details Black Strings and p-Branes are Unstable Black Strings and p-Branes are Unstable

1993-01-13

arxiv.org/abs/hep-th/9301052v2

Phys.Rev.Lett.70:2837-2840,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages plain TeX, 2 figures (not included), EFI-93-02 (TeX corrected)

Scientific paper

10.1103/PhysRevLett.70.2837

We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a range of time frequency and wavelength in the extra $10-D$ dimensions. These perturbations can be stabililized if the extra dimensions are compactified to a scale smaller than the minimum wavelength for which instability occurs and thus will not affect large astrophysical black holes in four dimensions. We comment on the implications of this result for the Cosmic Censorship Hypothesis.

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