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Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. II: Generic metrics. (English) Zbl 1170.83004

Summary: 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 [P. T. Chruściel and D. Pollack, Ann. Henri Poincaré 9, No. 4, 639–654 (2008; Zbl 1144.83004)].

MSC:

83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C15 Exact solutions to problems in general relativity and gravitational theory
53Z05 Applications of differential geometry to physics

Citations:

Zbl 1144.83004
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