On the Superradiance of Spin-1 Waves in an Equatorial Wedge around a Kerr Hole

Published 1999 December 22 © 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation Anthony N. Aguirre 2000 ApJ 529 L9 DOI 10.1086/312456

1538-4357/529/1/L9

Abstract

Recently Van Putten has suggested that superradiance of magnetosonic waves in a toroidal magnetosphere around a Kerr black hole may play a role in the central engine of γ-ray bursts. In this context, he computed (in the WKB approximation) the superradiant amplification of scalar waves confined to a thin equatorial wedge around a Kerr hole and found that the superradiance is higher than for radiation incident over all angles. This Letter presents calculations of both spin-0 (scalar) superradiance (integrating the radial equation rather than using the WKB method) and spin-1 (electromagnetic/magnetosonic) superradiance in Van Putten's wedge geometry. In contrast to the scalar case, spin-1 superradiance decreases in the wedge geometry, decreasing the likelihood of its astrophysical importance.

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10.1086/312456