This book offers a systematic exposition of conformal methods & how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity It shows that combining these ideas with differential geometry can elucidate the existence & stability of the basic solutions of the theory Introducing the differential geometric spinorial & PDE background required to gain a deep understanding of conformal methods this text provides an accessible account of key results in mathematical relativity over the last thirty years including the stability of de Sitter & Minkowski spacetimes For graduate students & researchers this self-contained account
Includes:: useful visual models to help the reader grasp abstract concepts & a list of further reading making this the perfect reference companion on the topic