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arXiv · 0803.1817

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

Piotr T. Chrusciel·Frank Pacard·Daniel Pollack
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Abstract

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

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Piotr T. Chrusciel, Frank Pacard, Daniel Pollack. 2008-03-12. Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics. https://arxiv.org/abs/0803.1817

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