Speaker
Description
In higher-dimensional gravity, black hole horizon topology is not restricted to spherical topology, and the systematic construction of exact solutions remains an important challenge.
In this talk, I explain how, under sufficient spacetime symmetries, higher-dimensional gravity reduces to a 2d space-dependent sigma model whose integrability enables exact solution construction. Using the monodromy matrix of the Breitenlohner–Maison linear system and the associated Riemann–Hilbert problem, I show how 5d vacuum solutions such as the Myers–Perry black hole, black ring, and black lens can be described and reconstructed in a unified way. I also discuss prospects for classifying non-spherical black holes and finding new exact solutions.
This talk is mainly based on joint work (hep-th/2510.02093) with Shinya Tomizawa of Toyota Technological Institute.