Abstract
This article summarises joint work with Juan A. Valiente-Kroon on de Minkowski-like and de Sitter-like space-times and was presented by the author at ERE 2009 in Bilbao. The existence and stability problem is re-examined using extended conformal field equations. In particular we make use of a gauge based on conformal geodesics to obtain a priori the location of the conformal boundary from the initial data.
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