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arXiv · 1310.6101

Analytic treatment of the charged black-hole-mirror bomb in the highly explosive regime

Shahar Hod
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Abstract

A charged scalar field impinging upon a charged Reissner-Nordstrom black hole can be amplified as it scatters off the hole, a phenomenon known as superradiant scattering. This scattering process in the superradiant regime w >1 and for mirror radii r_m in the near-horizon region x_m=(r_m-r_+)/r_+< >(tau/x_m)^2>>1 regime, which implies that the instability timescale 1/w_I of the system can be made arbitrarily short in the qQ-->infinity limit. The short instability timescale found in the linear regime along with the spherical symmetry of the system, make the charged bomb a convenient toy model for future numerical studies aimed to investigate the non-linear end-state of superradiant instabilities.

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Shahar Hod. 2013-10-23. Analytic treatment of the charged black-hole-mirror bomb in the highly explosive regime. https://doi.org/10.1103/physrevd.88.064055

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