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.

arXiv comment21 pages, REVTeX, Minor changes, Typos corrected

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• Superradiance Instability of Small Rotating AdS Black Holes in Arbitrary Dimensions
• Lifetime of scalar cloud formation around a rotating regular black hole
• Superradiant instability of $D$-dimensional Reissner-Nordström-anti-de Sitter black hole mirror system
• Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
• Superradiance and instability of small rotating charged AdS black holes in all dimensions
• Five-dimensional Janis-Newman algorithm
• Superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes
• No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
• Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb
• Kerr-Sen-like Lorentz violating black holes and Superradiance phenomena
• Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study