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

Gravity: An Introduction to Einstein`s General Relativity (1版)

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書名：Gravity: An Introduction to Einstein`s General Relativity (PNIE) 作者：Hartle 出版社：Pearson 出版日期：2014/00/00 ISBN：9781292039145 內容簡介 ●Examples come first, derivations later. In this "physics first" approach, relevant simple solutions of the Einstein equation are presented first, before introducing the field equations of general relativity and their supporting mathematics. This brings the student to the heart of the physical phenomena as quickly as possible. ●The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. Global positioning system, black holes, X-ray sources, pulsars, quasars, gravitational waves, the big bang, and the large scale structure of the universe, for example, are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena. ●Novel and simple examples are presented to keep the presentation concise and accessible: for instance, Schwarzschild black hole, spherical stars, weak gravitational waves in flat spacetime. ●Mathematics, beyond the typical advanced calculus knowledge, is kept to a minimum. Only absolutely essential new mathematical concepts are introduced, and these only when needed. ●The text's layered structure allows the text to be used for a range of courses depending on the length and level of the course—from junior level to introductory graduate level in physics and astronomy. After just the first few chapters, a student will take away a broad introduction to some of the basic phenomena of gravitational physics, and not just mathematical tools. ●Illustrative boxes are interspersed throughout, providing students with applications, experiments, ideas, examples, and interesting sidelights that extend and complement concepts presented in the basic text without interrupting its flow. 目錄 I. SPACE AND TIME IN NEWTONIAN PHYSICS AND SPECIAL RELATIVITY. 1. Gravitational Physics. 2. Geometry as Physics. 3. Space, Time, and Gravity in Newtonian Physics. 4. Principles of Special Relativity. 5. Special Relativistic Mechanics. II. THE CURVED SPACETIMES OF GENERAL RELATIVITY. 6. Gravity as Geometry. 7. The Description of Curved Spacetime. 8. Geodesics. 9. The Geometry Outside a Spherical Star. 10. Solar System Tests of General Relativity. 11. Relativistic Gravity in Action. 12. Gravitational Collapse and Black Holes. 13. Astrophysical Black Holes. 14. A Little Rotation. 15. Rotating Black Holes. 16. Gravitational Waves. 17. The Universe Observed. 18. Cosmological Models. 19. Which Universe and Why? III. THE EINSTEIN EQUATION. 20. A Little More Math. 21. Curvature and the Einstein Equation. 22. The Source of Curvature. 23. Gravitational Wave Emission. 24. Relativistic Stars.

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