Mathematical Research Letters

Volume 16 (2009)

Number 1

Singular Yamabe metrics and initial data with \emph{exactly} Kottler–Schwarzschild–de Sitter ends II. Generic metrics

Pages: 157 – 164

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n1.a15

Authors

Piotr T. Chru\'sciel (Mathematical Institute and Hertford College, Oxford)

Frank Pacard (Université Paris Est and Institut Universitaire de France)

Daniel Pollack (University of Washington)

Abstract

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}.

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