On de Sitter-like and Minkowski-like space-times
arXiv:0903.3899 · doi:10.1088/0264-9381/26/14/145012
Abstract
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.
24 pages, typos corrected to match published version in CQG