ホーキング『時空の大域的構造』（原書）５０周年記念版 The Large Scale Structure of Space-Time : 50th Anniversary Edition (Cambridge Monographs on Mathematical Physics)

Hawking, Stephen W./ Ellis, George F. R.

Cambridge University Press（2023/02発売）

• 製本 Hardcover:ハードカバー版／ページ数 410 p.
• 言語 ENG
• 商品コード 9781009253154
• DDC分類 530.11

Full Description

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.

Contents

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.