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

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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https://hal.archives-ouvertes.fr/hal-00277273
Contributor : Piotr Chrusciel <>
Submitted on : Monday, May 5, 2008 - 8:30:16 PM
Last modification on : Wednesday, September 4, 2019 - 1:52:03 PM

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  • HAL Id : hal-00277273, version 1
  • ARXIV : 0803.1817

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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, Springer Verlag, 2008, 9, pp.639-654. ⟨hal-00277273⟩

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