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

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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].

Original language	English
Pages (from-to)	157-164
Number of pages	8
Journal	Mathematical Research Letters
Volume	16
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2009.v16.n1.a15
Publication status	Published - 1 Jan 2009
Externally published	Yes

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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

PY - 2009/1/1

Y1 - 2009/1/1

N2 - 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].

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].

U2 - 10.4310/MRL.2009.v16.n1.a15

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

M3 - Article

AN - SCOPUS:64549144629

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VL - 16

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EP - 164

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 1

ER -

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

Abstract

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