Abstract

Kerr-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 key property we use is the normally hyperbolic trapping and the special structure of the dual metric function of Kerr called `compensable' in this talk.

Speaker

I am a PhD student at ICME, Stanford University. My advisor is András Vasy. My research focuses on inverse problems and regularity of solutions to Einstein equations, especially on spacetimes with normally hyperbolic trapping.

个人主页：

https://cap.stanford.edu/profiles/viewResume?facultyId=202552&name=Qiuye_Jia