Conformal methods in mathematical cosmology.

Conformal methods in mathematical cosmology.
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DOI:
10.1098/rsta.2023.0043
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发表时间:
2024-03-04
影响因子:
5
通讯作者:
Tod, Paul
Tod, Paul
中科院分区:
综合性期刊2区
文献类型:
--
作者:
Tod, Paul

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当他第一次介绍的概念,共形边界的研究渐近空时空,彭罗斯指出,边界将是零,类空或类时根据宇宙常数为零,积极或消极的。虽然保形边界概念的大多数应用都是在零渐近闵可夫斯基情况下,但也有非零情况的工作。在这里,我们回顾工作与积极的,这是适当的情况下,宇宙学的宇宙,我们生活在其中。这篇文章是讨论会的一部分问题“在界面的渐近性,共形方法和分析在广义相对论”。
When he first introduced the notion of a conformal boundary into the study of asymptotically empty space–times, Penrose noted that the boundary would be null, space-like or time-like according as the cosmological constant was zero, positive or negative. While most applications of the idea of a conformal boundary have been to the zero-, asymptotically Minkowskian case, there also has been work on the non-zero cases. Here, we review work with a positive , which is the appropriate case for cosmology of the universe in which we live. This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.
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发表时间: 2000-06-15
期刊: ANNALS OF PHYSICS
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