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arxiv 1004.4018 v3 pith:7JHXCOZ7 submitted 2010-04-22 gr-qc hep-th

Low-frequency absorption cross section of the electromagnetic waves for the extreme Reissner-Nordstrom black holes in higher dimensions

Luis C. B. Crispino , Atsushi Higuchi , George E. A. Matsas This is my paper
classification gr-qc hep-th
keywords crosslow-frequencysectionabsorptiondimensionswaveselectromagneticfind
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We investigate the low-frequency absorption cross section of the electromagnetic waves for the extreme Reissner-Nordstrom black holes in higher dimensions. We first construct the exact solutions to the relevant wave equations in the zero-frequency limit. In most cases it is possible to use these solutions to find the transmission coefficients of partial waves in the low-frequency limit. We use these transmission coefficients to calculate the low-frequency absorption cross section in five and six spacetime dimensions. We find that this cross section is dominated by the modes with l=2 in the spherical-harmonic expansion rather than those with l=1, as might have been expected, because of the mixing between the electromagnetic and gravitational waves. We also find an upper limit for the low-frequency absorption cross section in dimensions higher than six.

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