The Evolution Problem in General Relativity

This monograph examines the global aspects of the problem of evolution equations in general relativity. Central to the work is a revisit of the proof of the global stability of Minkowski space, as presented by Christodoulou and Klainerman (1993). This book focuses on a new self-contained proof of the main part of that result which concerns the full solution of the radiation problem in vacuum for arbitrary asymptotic flat initial data sets. While technical motivation is clearly and systematically provided for this proof, many important related concepts and results, some well established, others new, unfold along the way. A comprehensive bibliography and index complete this important monograph, aimed at researchers and graduate students in mathematics, mathematical physics, and physics working in the area of general relativity.