Resumen de Singular yamabe metrics and initial data with "exactly" Kottler-Schwarzschild-de Sitter ends II: generic metrics

Piotr T. Chrusciel, Frank Pacard, Daniel Pollack

• We present a gluing construction which adds, via a localized deformation, \emph{exactly Delaunay ends} to \emph{generic} metrics with constant positive scalar curvature. This provides time-symmetric initial data sets for the vacuum Einstein equations with positive cosmological constant with \emph{exactly} Kottler--Schwarzschild--de Sitter ends, extending the results in~\cite{ChPollack}.