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

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

2007-10-17

arxiv.org/abs/0710.3365v2

AnnalesHenriPoincare9:639-654,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor changes, updated references. Final version. To appear in Annales Henri Poincare

Scientific paper

10.1007/s00023-008-0368-6

We 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.

Affiliated with

Also associated with

No associations

Rating

Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-12320