Conformal methods in general relativity

• Tác giả: Juan A Valiente Kroon
• Ngôn ngữ: eng
• ISBN: 9781009291309 (ebook)
• Ký hiệu phân loại: 530.11 Relativity theory
• Thông tin xuất bản: Cambridge : Cambridge University Press, 2022.
• Mô tả vật lý: 1 online resource (xxx, 594 pages) : , digital, PDF file(s).
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 345409
• Chủ đề: 1. Conformal geometry; 2. Conformal mapping; 3. Einstein field equations--Numerical solutions; 4. General relativity (Physics)--Mathematics; 5. Geometry, Differential; 6. Space and time

Tóm tắt

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.