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Article Dans Une Revue Annales Henri Poincaré Année : 2008

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

Résumé

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].

Dates et versions

hal-00277273 , version 1 (05-05-2008)

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Piotr T. Chrusciel, Frank Pacard, Daniel Pollack. Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics. Annales Henri Poincaré, 2008, 9, pp.639-654. ⟨hal-00277273⟩
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