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arXiv · 1508.04046

Kerr-de Sitter Greybody Factors via Isomonodromy

Bruno Carneiro da Cunha·Fábio Novaes
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Abstract

Scattering data can be generically described in terms of monodromies. Here we obtain scattering amplitudes for conformally coupled scalar fields in Kerr-de Sitter black holes using this monodromy technique. The only non-trivial parameter, the composite monodromy parameter $σ_{ij}$ between two regular singular points, can be solved implicitily in terms of the Painlevé VI $τ$-function. The application of the Virasoro conformal blocks to solve the latter can now be interpreted as a verification of the striking relationship between conformal symmetry and black holes.

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Bruno Carneiro da Cunha, Fábio Novaes. 2015-08-17. Kerr-de Sitter Greybody Factors via Isomonodromy. https://doi.org/10.1103/physrevd.93.024045

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