Abstract
We apply the method of isomonodromy to study the scattering of a generic Kerr-NUT-(A)dS black hole. For generic values of the charges, the problem is related to the connection problem of the Painlevé VI transcendent. We review a few facts about Painlevé VI, Garnier systems and the Hamiltonian structure of flat connections in the Riemann sphere. We then outline a method for computing the scattering amplitudes based on Hamilton-Jacobi structure of Painlevé, and discuss the implications of the generic result to black hole complementarity.
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Novaes, F., da Cunha, B.C. Isomonodromy, Painlevé transcendents and scattering off of black holes. J. High Energ. Phys. 2014, 132 (2014). https://doi.org/10.1007/JHEP07(2014)132
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DOI: https://doi.org/10.1007/JHEP07(2014)132