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Low-frequency scalar absorption cross sections for stationary black holes

Higuchi, A. (2001) Low-frequency scalar absorption cross sections for stationary black holes. Classical and Quantum Gravity, 18 (20). L139-L144. ISSN 1361-6382

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We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 16 Jul 2009 09:01
Last Modified: 16 Jul 2009 09:01
Published Version: http://dx.doi.org/10.1088/0264-9381/18/20/102
Status: Published
Publisher: Institute of Physics and IOP Publishing Limited
Identification Number: 10.1088/0264-9381/18/20/102
URI: http://eprints.whiterose.ac.uk/id/eprint/5867

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