Séminaire de Physique Théorique

The Isomonodromy Method for Black Hole Scattering
Bruno Carneiro da Cunha (Universidade Federal do Rio Grande do Sul, Brésil)
Thursday 23 March 2017 11:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
Many problems and physics can be phrased in terms of the connection problem of the solutions of (ordinary) differential equations. This is, in turn, related to the Riemann-Hilbert problem, which displays an interesting set of symmetries encoded by the Schlesinger equations and is intimately related to the theory of Painlevé transcendents. I will review the recent efforts by myself and collaborators to apply these techniques to extract analytical solutions to the scattering coefficients for a number of black hole backgrounds, including Kerr-Newman and Kerr-AdS.

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