BH6 - Regular and Analogue Black Holes |
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Speaker |
Carneiro da Cunha, Bruno |
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Coauthors |
Novaes, Fabio; Carneiro da Cunha, Bruno |
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Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes |
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Abstract |
Isomonodromy, Painlevé Transcendents and Scattering of Black Holes We summarise recent developments in obtaining analytical expressions for the scattering coefficients of Kerr and Kerr-de Sitter black holes, using the isomonodromy method. These have a lot in common with the theory of Painlevé transcendents and integrable structures, and physically with recent developments in conformal field theories. We are able to derive implicit expressions in terms of Painlevé V and VI tau functions and more amenable analytical expressions in the near-extremal case. |
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