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

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.
Authors:
 [1]
  1. Faculty of Engineering and Architecture, Yeni Yüzyıl University, Cevizlibağ-Topkapı, Istanbul, 34010 Turkey (Turkey)
Publication Date:
OSTI Identifier:
22375737
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; KLEIN-GORDON EQUATION; L-MODE PLASMA CONFINEMENT; PERTURBATION THEORY; SPACE-TIME; SPECTRA; SUPERGRAVITY; SUPERRADIANCE