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We present a gluing construction which adds, via a localized deformation,exactly Delaunay ends to generic metrics with constant positive scalarcurvature. This provides time-symmetric initial data sets for the vacuumEinstein equations with positive cosmological constant with exactlyKottler-Schwarzschild-de Sitter ends, extending the results in arXiv:0710.3365[gr-qc].

Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics