Black-hole bomb and superradiant instabilities

Details Black-hole bomb and superradiant instabilities Black-hole bomb and superradiant instabilities

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrvd..70d4039c&link_type=abstract

Physical Review D, vol. 70, Issue 4, id. 044039

Physics

77

Physics Of Black Holes

Scientific paper

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.

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