Solutions of the Einstein equations evolve on the constraint manifold which is an infinite-dimensional subset of tensors on a 3-manifold M which satisfy an under-determined geometric system of equations. There are many approaches to solving these equations and attempts at understanding the structure of the manifold. In this talk we will survey this topic including recent work on constructing localized solutions and special types of black hole solutions.
This video is part of Harvard University‘s conference JDG 2017.
