Spacetime and Geometry: An Introduction to General Relativity (1版)

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書名：Spacetime and Geometry: An Introduction to General Relativity 作者：Carroll 出版社：Cambridge 出版日期：2019/09/00 ISBN：9781108488396

Conformal Methods in General Relativity

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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 an ideal reference companion on the topic. This title, first published in 2016, has been reissued as an Open Access publication on Cambridge Core. Includes over seventy figures and diagrams to illustrate difficult concepts Extensive lists of further reading provide the reader with access into the important literature of the subject Encourages researchers in related areas to make use of the ideas discussed in their own research This title has been reissued as an Open Access publication on Cambridge Core

A First Course in General Relativity (3版)

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A First Course in General Relativity ISBN13：9781108492676 出版社：Cambridge Univ Pr 作者：Bernard Schutz 裝訂／頁數：精裝／512頁 版次：3 出版日：2022/05/31

A First Course in General Relativity (2版)

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【原文書】 書名：A First Course in General Relativity 2/E 作者：SCHUTZ 出版社：CAMBRIDGE ISBN：9780521887052 Table of contents Preface; 1. Fundamental principles of special relativity; 2. Vector analysis in special relativity; 3. Tensor analysis in special relativity; 4. Perfect fluids in special relativity; 5. Preface to curvature; 6. Curved manifolds; 7. Physics in a curved spacetime; 8. The Einstein field equations; 9. Gravitational radiation; 10. Spherical solutions for stars; 11. Schwarzschild geometry and black holes; 12. Cosmology; References; Index.