The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity

This book presents state-of-the-art results on the analysis of the Einstein field equations and the large scale structure of their solutions.
It combines in a unique way introductory chapters and surveys written by distinguished researchers, discusses applications to geometrical studies, points out open problems, and provides background material on techniques in PDE theory, differential geometry, and causal theory.
Graduate students, analysts and numerical relativists will profit from this access to recent research on the analysis and structure of Einstein's equations and the behavior of their solutions.