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arXiv 1004.4018gr-qchep-th
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高维极端Reissner-Nordstrom黑洞电磁波的低频吸收截面

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

摘要:

研究了高维极端Reissner-Nordstrom黑洞的电磁波的低频吸收截面.我们首先构造了零频率极限下相关波动方程的精确解。在大多数情况下,可以使用这些解决方案,以找到在低频极限的分波的透射系数。我们利用这些透射系数计算了5维和6维时空中的低频吸收截面。我们发现,这个截面是占主导地位的模式与l=2的球谐展开,而不是那些与l=1,因为电磁波和引力波之间的混合可能已经预期。我们还发现了一个上限的低频吸收截面的尺寸高于6。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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