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Stable Black Strings in Anti-de Sitter Space | | Takayuki Hirayama
; Gungwon Kang
; | | Date: |
24 Apr 2001 | | Journal: | Phys.Rev. D64 (2001) 064010 | | Subject: | hep-th gr-qc hep-ph | | Affiliation: | KEK | | 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 $AdS/dS$-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 $AdS_4$ 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. | | Source: | arXiv, hep-th/0104213 | | Services: | Forum | Review | PDF | Favorites | |
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