Singular yamabe metrics and initial data with exactly kottler- schwarzschild-de sitter ends II. Generic metrics

Piotr T. Chruściel; Frank Pacard; Daniel Pollack

doi:10.4310/MRL.2009.v16.n1.a15

Singular yamabe metrics and initial data with exactly kottler- schwarzschild-de sitter ends II. Generic metrics

Piotr T. Chruściel
, Frank Pacard
, Daniel Pollack

Hertford College
Université de PARIS XII
University of Washington

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

12 Citations (Scopus)

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 [5].

langue originale	Anglais
Pages (de - à)	157-164
Nombre de pages	8
journal	Mathematical Research Letters
Volume	16
Numéro de publication	1
Les DOIs	https://doi.org/10.4310/MRL.2009.v16.n1.a15
état	Publié - 1 janv. 2009
Modification externe	Oui

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10.4310/MRL.2009.v16.n1.a15

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title = "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 [5].",

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AU - Chruściel, Piotr T.

AU - Pacard, Frank

AU - Pollack, Daniel

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AB - 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 [5].

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DO - 10.4310/MRL.2009.v16.n1.a15

M3 - Article

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JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 1

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Singular yamabe metrics and initial data with exactly kottler- schwarzschild-de sitter ends II. Generic metrics

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