Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics
General Relativity and Quantum Cosmology
2008-03-13 v1 Differential Geometry
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].
Cite
@article{arxiv.0803.1817,
title = {Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics},
author = {Piotr T. Chrusciel and Frank Pacard and Daniel Pollack},
journal= {arXiv preprint arXiv:0803.1817},
year = {2008}
}
Comments
7 pages