Small black holes in $Ad{S}_5\times S^5$

Abstract

We consider small black holes in $Ad{S}_5\times S^5$, 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.

arXiv comment16 pages, 1 figure; v2: CQG published version (20 pages, 2 figures)

References in corpus (6)

• Black Strings and p-Branes are Unstable
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Unstable Horizons
• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Black hole spectra in holography: consequences for equilibration of dual gauge theories

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