AbstractKerr-de Sitter spacetimes is a family of slowly rotating black holes with positive cosmological constant. They are parameterized by their mass and angular momentum. We discuss propagation of singularities of wave equations on Kerr-de Sitter spacetimes. We construct a new pseudodifferential operator algebra using blow up and prove a propagation estimate improving the result of Hintz. The...
AbstractThe black hole microstates and the related problems such as Hawking radiation and information paradox are central problems in theoretical physics. Although there is some recent progress based on the so-called island formula, the physical meaning of islands still needs to be clarified. For rotating Kerr black holes, a near-horizon conformal symmetry can be constructed. Inspired by this r...