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摘要
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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 Lambda was zero, positive or negative. While most applications of the idea of a conformal boundary have been to the zero-Lambda, asymptotically Minkowskian case, there also has been work on the non-zero cases. Here, we review work with a positive Lambda, 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'.
Keyword:
conformal methods
mathematical cosmology
conformal cyclic cosmology
Weyl curvature hypothesis
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