Conformal Methods in General Relativity

Nonfiction, Science & Nature, Science, Physics, Relativity, Cosmology
Cover of the book Conformal Methods in General Relativity by Juan A. Valiente Kroon, Cambridge University Press
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Author: Juan A. Valiente Kroon ISBN: 9781316687321
Publisher: Cambridge University Press Publication: July 21, 2016
Imprint: Cambridge University Press Language: English
Author: Juan A. Valiente Kroon
ISBN: 9781316687321
Publisher: Cambridge University Press
Publication: July 21, 2016
Imprint: Cambridge University Press
Language: English

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.

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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.

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