The large scale structure of space-time
著者
書誌事項
The large scale structure of space-time
（Cambridge monographs on mathematical physics）
Cambridge University Press, 2023
50th anniversary edition
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注記
"First published 1973. First paperback edition 1974. 20th printing 2006. 50th anniversary edition 2023"-- title page verso
Includes bibliographical references and index
内容説明・目次
内容説明
First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.
目次
- Foreword to the Anniversary Edition Abhay Ashtekar
- Preface to the Anniversary Edition George F. R. Ellis
- Preface
- 1. The role of gravity
- 2. Differential geometry
- 3. General relativity
- 4. The physical significance of curvature
- 5. Exact solutions
- 6. Causal structure
- 7. The Cauchy problem in General Relativity
- 8. Space-time singularities
- 9. Gravitational collapse and black holes
- 10. The initial singularity in the universe
- Appendixes
- References
- Notation
- Index.
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