Title: Abstract:

Title: Solving the constraint equation for general free data Abstract: We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical degrees of freedom of the constraint system. We show that once appropriate gauge conditions have been chosen […]

Title: Linear stability of Kerr spacetimes    Abstract: I will explain a result obtained in collaboration with P. Hintz and A. Vasy on the linear stability of rotating Kerr black holes as solutions of the Einstein vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure […]