This book offers a systematic exposition of conformal methods and
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 and stability of the basic solutions of the theory.
Introducing the differential geometric, spinorial and 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 and Minkowski spacetimes. For graduate
students and researchers, this self-contained account includes
useful visual models to help the reader grasp abstract concepts and
a list of further reading, making this an ideal reference companion
on the topic. This title, first published in 2016, has been
reissued as an Open Access publication on Cambridge Core.
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