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Stable Black Strings in Anti-de Sitter Space
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Stable Black Strings in Anti-de Sitter Space
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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.
Forward citations
Cited by 3 Pith papers
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On regular black string spacetimes in nonlinear electrodynamics
No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.
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On regular black string spacetimes in nonlinear electrodynamics
For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.
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Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
Embedding of Ellis-Bronnikov wormhole and NED-sourced magnetic/dyonic black strings into RS braneworlds using Local Sum Rules; the dyonic q→0 limit is inconsistent as written.
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