Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes

Abstract

We study the instability of small AdS black holes with two independent rotation parameters in minimal five-dimensional gauged supergravity to massless scalar perturbations. We analytically solve the Klein-Gordon equation for low-frequency perturbations in two regions of the spacetime of these black holes: namely, in the region close to the horizon and in the far-region. By matching the solutions in an intermediate region, we calculate the frequency spectrum of quasinormal modes. We show that in the regime of superradiance only the modes of even orbital quantum number undergo negative damping, resulting in exponential growth of the amplitude. That is, the black holes become unstable to these modes. Meanwhile, the modes of odd orbital quantum number do not undergo any damping, oscillating with frequency-shifts. This is in contrast with the case of four-dimensional small Kerr-AdS black holes which exhibit the instability to all modes of scalar perturbations in the regime of superradiance.

24 pages, REVTeX; Minor changes, matching published version

References in corpus (6)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Classical instability of Kerr-AdS black holes and the issue of final state
• Microscopic Theory of Black Hole Superradiance
• Superradiance and Instability of Black Holes
• Superradiant instability of large radius doubly spinning black rings
• Rotating Spacetimes with Asymptotic Non-Flat Structure and the Gyromagnetic Ratio

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