Siyuan Ma

The metric of a Kerr spacetime describes a rotating, stationary, axisymmetric, asymptotically flat solution to vacuum Einstein equations. One of the most important open problems in mathematical General Relativity is to address the fully nonlinear stability conjecture of this (subextremeal) family of Kerr spacetimes. In this talk, I will present my recent results in obtaining energy and Morawetz estimates for the extreme Newman-Penrose components of both Maxwell field and linearized gravity on Kerr backgrounds.