Characterising the Most Rapidly Rotating AdS${}_5$-Kerr Black Holes

Abstract

Classical Censorship permits AdS${}_5$-Kerr black holes with arbitrarily large angular momenta per unit mass, which does not seem reasonable from a holographic point of view. However, it has been shown that, when these black holes are embedded in string theory, their angular momentum per unit mass is in fact bounded by $2\sqrt{2}L$, where $L$ is the asymptotic curvature scale. One might suppose that the most rapidly rotating AdS${}_5$-Kerr black holes, with angular momentum per unit mass close to this bound, might be unstable, for example, to a superradiant instability. We show that this is not always true: there is a small domain in the AdS${}_5$-Kerr parameter space corresponding to black holes which are stable against superradiance and yet nearly saturate the stringy bound.

arXiv comment9 pages, 2 figures

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Cited by in corpus (1)

• Topological classes of thermodynamics of rotating AdS black holes