Superradiance and black hole bomb in five-dimensional minimal ungauged supergravity

Abstract

We examine the black hole bomb model which consists of a rotating black hole of five-dimenensional minimal ungauged supergravity and a reflecting mirror around it. For low-frequency scalar perturbations, we find solutions to the Klein-Gordon equation in the near-horizon and far regions of the black hole spacetime. To avoid solutions with logarithmic terms, we assume that the orbital quantum number $l$ takes on nearly, but not exactly, integer values and perform the matching of these solutions in an intermediate region. This allows us to calculate analytically the frequency spectrum of quasinormal modes, taking the limits as $l$ approaches even or odd integers separately. We find that all $l$ modes of scalar perturbations undergo negative damping in the regime of superradiance, resulting in exponential growth of their amplitudes. Thus, the model under consideration would exhibit the superradiant instability, eventually behaving as a black hole bomb in five dimensions.

21 pages, REVTeX, Minor changes, Typos corrected

References in corpus (4)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes
• Superradiant instabilities in a $D$-dimensional small Reissner-Nordström-Anti-de Sitter black hole

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• No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
• Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study
• Kerr-Sen-like Lorentz violating black holes and Superradiance phenomena