The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time
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DOI:
10.1017/9781009253161
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发表时间:
2023-02
期刊:
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影响因子:
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通讯作者:
S. Hawking;G. Ellis
S. Hawking;G. Ellis
中科院分区:
其他
文献类型:
--
作者:
S. Hawking;G. Ellis

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这本有影响力的著作首次出版于1973年,讨论了爱因斯坦的广义相对论,展示了它的两个预言是如何产生的:第一,许多大质量恒星的最终命运是经历引力坍缩形成“黑洞”;第二,在宇宙开始的时候,过去有一个奇点。从理论的精确表述开始,包括必要的微分几何,作者讨论了时空曲率的意义,并研究了爱因斯坦场方程的一些精确解的性质。他们发展了一般时空的因果结构理论,并用它来证明一些定理,这些定理建立了在某些条件下奇点的必然性。一个由阿沛Ashtekar贡献的前言和一个新的前言从乔治埃利斯帮助把体积到背景下的发展领域在过去的五十年。
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.