Existence and Stability of Even-dimensional Asymptotically de Sitter Spaces

A new proof of Friedrich’s theorem on the existence and stability of asymptotically de Sitter spaces in 3 + 1 dimensions is given, which extends to all even dimensions. In addition we characterize the possible limits of spaces which are globally asymptotically de Sitter, to the past and future. Communicated by Sergiu Klainerman submitted 30/08/04, accepted 27/01/05