Phys. Rev. D 70, 044039 (2004) [9 pages]Black-hole bomb and superradiant instabilitiesSee Also: Publisher's Note Received 14 April 2004; published 26 August 2004; publisher error corrected 27 August 2004 A wave impinging on a Kerr black hole can be amplified as it scatters off the hole if certain conditions are satisfied, giving rise to superradiant scattering. By placing a mirror around the black hole one can make the system unstable. This is the black-hole bomb of Press and Teukolsky. We investigate in detail this process and compute the growing time scales and oscillation frequencies as a function of the mirror’s location. It is found that in order for the system black hole plus mirror to become unstable there is a minimum distance at which the mirror must be located. We also give an explicit example showing that such a bomb can be built. In addition, our arguments enable us to justify why large Kerr-AdS black holes are stable and small Kerr-AdS black holes should be unstable. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.044039
DOI:
10.1103/PhysRevD.70.044039
PACS:
04.70.-s
See AlsoPublisher's Note: Vitor Cardoso, Óscar J. Dias, José P. Lemos, and Shijun Yoshida, Publisher’s Note: Black-hole bomb and superradiant instabilities [Phys. Rev. D 70, 044039 (2004)], Phys. Rev. D 70, 049903 (2004). |
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