Affiliation:
1. Mathematical Institute, Oxford University, Woodstock Road, Oxford OX2 6GG, UK
Abstract
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
Λ
was zero, positive or negative. While most applications of the idea of a conformal boundary have been to the zero-
Λ
, asymptotically Minkowskian case, there also has been work on the non-zero cases. Here, we review work with a positive
Λ
, 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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1. At the interface of asymptotics, conformal methods and analysis in general relativity;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-15