Abstract
We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.
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ArXiv ePrint: 2002.06108
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Amado, J.B., da Cunha, B.C. & Pallante, E. Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent. J. High Energ. Phys. 2020, 155 (2020). https://doi.org/10.1007/JHEP04(2020)155
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DOI: https://doi.org/10.1007/JHEP04(2020)155