2008

Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes

Aliev, Alikram N., Delice, Özgür

Understand

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.

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