Stable Black Strings in Anti-de Sitter Space
arXiv:hep-th/0104213 · doi:10.1103/PhysRevD.64.064010
Abstract
In the five-dimensional Einstein gravity with negative cosmological constant in the presence/absence of a {\it non-fine-tuned} 3-brane, we have investigated the classical stability of black string solutions which are foliations of four-dimensional -Schwarzschild black holes. Such black strings are generically unstable as in the well-known Gregory-Laflamme instability. For black strings, however, it turns out that they become stable if the longitudinal size of horizon is larger than the order of the radius. Even in the case of unstable black strings, the black strings have a very different feature of string fragmentations from that in the flat brane world. Some implications of our results on the Gubser-Mitra conjecture are also discussed.
13 pages, 3 figures, revtex, a comment on the work by Emparan, Horowitz, and Myers in one dimension less added
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