
The Constraint Equations.- The Penrose Inequality.- The Global Existence Problem in General Relativity.- Smoothness at Null Infinity and the Structure of Initial Data.- Status Quo and Open Problems in the Numerical Construction of Spacetimes.- The Einstein-Vlasov System.- Future...

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...