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arXiv 0903.3899gr-qc
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关于类de Sitter和类Minkowski时空

On de Sitter-like and Minkowski-like space-times

C. Lübbe, J. A. Valiente Kroon

摘要:

利用推广的共形场方程和基于共形测地线的规范,重新检验和讨论了Friedrich关于类de Sitter时空的整体存在性和类Minkowski时空的半整体存在性的证明[\textbf{107},587(1986)].在这个规范中,一旦初始数据被规定,时空的共形边界的位置就是已知的\emph{a priori}。因此,它提供了一个分析,这是概念和计算上更简单。

英文摘要:

Friedrich's proofs for the global existence results of de Sitter-like space-times and of semi-global existence of Minkowski-like space-times [Comm. Math. Phys. \textbf{107}, 587 (1986)] are re-examined and discussed, making use of the extended conformal field equations and a gauge based on conformal geodesics. In this gauge the location of the conformal boundary of the space-times is known \emph{a priori} once the initial data has been prescribed. Thus it provides an analysis which is conceptually and calculationally simpler.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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