{ "id": "hep-th/0104213", "version": "v2", "published": "2001-04-24T16:49:55.000Z", "updated": "2001-05-02T17:49:40.000Z", "title": "Stable Black Strings in Anti-de Sitter Space", "authors": [ "Takayuki Hirayama", "Gungwon Kang" ], "comment": "13 pages, 3 figures, revtex, a comment on the work by Emparan, Horowitz, and Myers in one dimension less added", "journal": "Phys.Rev. D64 (2001) 064010", "doi": "10.1103/PhysRevD.64.064010", "categories": [ "hep-th", "gr-qc", "hep-ph" ], "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.", "revisions": [ { "version": "v2", "updated": "2001-05-02T17:49:40.000Z" } ], "analyses": { "keywords": [ "anti-de sitter space", "schwarzschild black holes", "five-dimensional einstein gravity", "flat brane world", "well-known gregory-laflamme instability" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "RevTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 555813 } } }