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• W2336969884 abstract "We consider nonspherically symmetric perturbations of the uncharged black string/flat black brane in the large dimension (D) limit of general relativity. We express the perturbations in a simplified form using variables introduced by Ishibashi and Kodama. We apply the large D limit to the equations and show that this leads to decoupling of the equations in the near-horizon and asymptotic regions. It also enables use of matched asymptotic expansions to obtain approximate analytical solutions and to analyze stability of the black string/brane. For a large class of nonspherically symmetric perturbations, we prove that there are no instabilities in the large D limit. For the rest, we provide additional matching arguments that indicate that the black string/brane is stable. In the static limit, we show that for all nonspherically symmetric perturbations, there is no instability. This is proof that the Gross-Perry-Yaffe mode for semiclassical black hole perturbations is the unique unstable mode even in the large D limit. This work is also a direct analytical indication that the only instability of the black string is the Gregory-Laflamme instability." @default.
• W2336969884 created "2016-06-24" @default.
• W2336969884 creator A5031722936 @default.
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• W2336969884 date "2016-06-01" @default.
• W2336969884 modified "2023-10-14" @default.
• W2336969884 title "Nonspherically symmetric black string perturbations in the large dimension limit" @default.
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• W2336969884 doi "https://doi.org/10.1103/physrevd.93.124002" @default.
• W2336969884 hasPublicationYear "2016" @default.
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