MG14 - Talk detail |
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Participant |
Novaes, Fábio | |||||||
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Institution |
International Institute of Physics - UFRN - Av. Odilon Gomes de Lima, 1722 - Capim Macio - Natal - Rio Grande do Norte - Brazil | |||||||
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Session |
BH4 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Isomonodromic Approach to Scattering by Black Holes | |||||
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Abstract |
We obtain exact scattering coefficients of linear field perturbations around black holes from monodromy data of the associated radial wave equation. We apply the method to Kerr-NUT-(A)dS black holes, whose wave equation is always separable, and apply the isomonodromic approach recently described in JHEP 07 (2014) 132. The non-trivial monodromy is obtained by numerical integration of the Painlevé VI function. We also obtain an approximate analytical expression for the near-extremal case. Finally, we discuss how our expression can be used in the calculation of superradiance and quasinormal modes and the extension to higher-dimensions. |
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