Self-similar spacetimes: Geometry and dynamics
Self-similar spacetimes: Geometry and dynamics
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自相似时空：几何与动力学
DOI：
10.1007/bf01645943
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发表时间：
1974
影响因子：
2.4
通讯作者：
D. Eardley
中科院分区：
文献类型：
--
作者：
D. Eardley
讨论了广义相对论中自相似性的性质和用途。一个时空可以沿着从1到4的任何维度的表面自相似（位似）。给出了所有自相似时空的几何构造。作为一个重要的特殊情况，“空间自相似宇宙学模型”的介绍，并在一定程度上详细研究了它们的动力学性质：提出了初始值问题，ADM制定（适用时），并表明，发展方程保持自相似的初始数据。守恒量的存在是从自相似性推导出来的。可能的应用宇宙学和奇点提到。
The nature and uses of self-similarity in general relativity are discussed. A spacetime may be self-similar (homothetic) along surfaces of any dimensionality, from 1 to 4. A geometric construction is given for all self-similar spacetimes. As an important special case, the “spatially self-similar cosmological models” are introduced, and their dynamical properties are studied in some detail: The initial-value problem is posed, the ADM formulation is established (when applicable), and it is shown that the evolution equations preserve a self-similarity of initial data. The existence of a conserved quantity is deduced from self-similarity. Possible applications to cosmology and singularities are mentioned.