Black-hole bomb and superradiant instabilities

Vitor Cardoso, Óscar J.C. Dias, José P.S. Lemos, Shijun Yoshida

Research output: Contribution to journalArticlepeer-review

206 Citations (Scopus)


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.

Original languageEnglish
Article number044039
JournalPhysical Review D
Issue number4 B
Publication statusPublished - 2004 Aug 1
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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