Superradiance in a Torus Magnetosphere Around a Black Hole
Maurice H. P. M. van Putten
The coalescence of a neutron star and a black hole in a binary
system is believed to form a torus around a Kerr black hole. A
similarly shaped magnetosphere then results from the remnant magnetic
field of the neutron star. In the strong-field case, it contains a
cavity for plasma waves located between the barrier of the
gravitational potential and the surrounding torus. This cavity may be
unstable to superradiance of electromagnetic waves. Superradiant
amplification of such waves, initially excited by turbulence in the
torus, should inflate into a bubble in a time as short as ~0.75 (1 percent/

2)(M/7M
)
seconds ~0.15 to 1.5 seconds, assuming an efficiency 

2 = 0.5 to 5 percent and a mass M = 7M
. These bubbles may burst and repeat, of possible relevance to intermittency in
cosmological
-ray bursts. The model predicts
-ray bursts to be
anticorrelated with their gravitational wave emissions.
Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
E-mail: mvp{at}math.mit.edu