COLÓQUIO (08/05/2015): Isomonodromy, Painlevé Transcendents and Scattering of Black Holes (Prof. Dr. Bruno Carneiro da Cunha – Universidade Federal de Pernambuco)

We summarize 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.

Image Credit: http://physicsworld.com/cws/article/news/2011/jun/28/famous-black-hole-confirmed-after-40-years