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Speaker |
Novaes, Fábio |
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Coauthors |
Novaes, Fábio; Carneiro da Cunha, Bruno |
| Talk 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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