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Small black holes in $AdS_5\times S^5$

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abstract

We consider small black holes in $AdS_5\times S^5$, smeared on $S^5$. We compute the spectrum of $\ell \in [1,10]$ $S^5$-quasinormal modes corresponding to fluctuations leading to localization of these black holes on $S^5$. We recover the zero mode found by Hubeny and Rangamani (HR) previously \cite{Hubeny:2002xn}, and explicitly demonstrate that a Gregory-Laflamme type instability is at play in this system. The instability is associated with the expectation value of a dimension-5 operator.

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hep-th 1

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2019 1

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representative citing papers

The Fate of Instability of de Sitter Black Holes at Large $D$

hep-th · 2019-09-06 · conditional · novelty 6.0

At large D, RN-dS and GB-dS black holes evolve to stationary lumpy solutions on the instability threshold, and in the unstable region their mass localizes into spot-like or ring-like configurations.

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  • The Fate of Instability of de Sitter Black Holes at Large $D$ hep-th · 2019-09-06 · conditional · none · ref 48 · internal anchor

    At large D, RN-dS and GB-dS black holes evolve to stationary lumpy solutions on the instability threshold, and in the unstable region their mass localizes into spot-like or ring-like configurations.