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Conformal methods in general relativity. (English) Zbl 1368.83004
Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press (ISBN 978-1-107-03389-4/hbk; 978-1-139-52395-0/ebook). xxx, 594 p. (2016).
Publisher’s description: 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 the perfect reference companion on the topic.

MSC:
83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
83Cxx General relativity
35Q75 PDEs in connection with relativity and gravitational theory
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