Stable Black Strings in Anti-de Sitter Space
نویسندگان
چکیده
In the five-dimensional Einstein gravity with negative cosmological constant in the presence/absence of a non-fine-tuned 3-brane, we have investigated the classical stability of black string solutions which are foliations of four-dimensional AdS/dS-Schwarzschild black holes. Such black strings are generically unstable as in the well-known Gregory-Laflamme instability. For AdS black strings, however, it turns out that they become stable if the longitudinal size of horizon is larger than the order of the AdS4 radius. Even in the case of unstable black strings, the AdS 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. E-mail address: [email protected] E-mail address: [email protected]
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