Differential geometry -- Spacetime spinors -- Space spinors -- Conformal extensions of exact solutions -- Asymptotic simplicity -- The conformal Einstein field equations -- Matter models -- Asymptotics -- The conformal constraint equations -- Methods of the theory of hyperbolic differential equations -- Hyperbolic reductions -- Causality and the Cauchy problem in general relativity -- De Sitter-like spacetimes -- Minkowski-like spacetimes -- Anti-de Sitter-like spacetimes -- Characteristic problems for the conformal field equations -- Static solutions -- Spatial infinity -- Perspectives
Summary
A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity