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

• Autores: Piotr T. Chrusciel, Frank Pacard, Daniel Pollack
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 1, 2009, págs. 157-164
• Idioma: inglés
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• Resumen

  • 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}.