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

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dc.creatorChrusciel, Piotr T.
dc.creatorPollack, Daniel
dc.date2007-10-17
dc.date2008-03-09
dc.date.accessioned2026-07-07T11:38:12Z
dc.date.available2026-07-07T11:38:12Z
dc.descriptionWe construct large families of initial data sets for the vacuum Einstein equations with positive cosmological constant which contain exactly Delaunay ends; these are non-trivial initial data sets which coincide with those for the Kottler-Schwarzschild-de Sitter metrics in regions of infinite extent. From the purely Riemannian geometric point of view, this produces complete, constant positive scalar curvature metrics with exact Delaunay ends which are not globally Delaunay. The ends can be used to construct new compact initial data sets via gluing constructions. The construction provided applies to more general situations where the asymptotic geometry may have non-spherical cross-sections consisting of Einstein metrics with positive scalar curvature.
dc.descriptionMinor changes, updated references. Final version. To appear in Annales Henri Poincare
dc.identifierhttps://arxiv.org/abs/0710.3365
dc.identifierhttp://arxiv.org/abs/0710.3365
dc.identifierAnnalesHenriPoincare9:639-654,2008
dc.identifierdoi:10.1007/s00023-008-0368-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199473
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleSingular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends
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