Gluing construction of initial data with Kerr-de Sitter ends

Details Gluing construction of initial data with Kerr-de Sitter ends Gluing construction of initial data with Kerr-de Sitter ends

2012-02-16

arxiv.org/abs/1202.3688v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 3 figures

Scientific paper

We construct initial data sets which satisfy the vacuum constraint equa- tions of General Relativity with positive cosmologigal constant. More pre- silely, we deform initial data with ends asymptotic to Schwarzschild-de Sitter to obtain non-trivial initial data with exactly Kerr-de Sitter ends. The method is inspired from Corvino's gluing method. We obtain here a extension of a previous result for the time-symmetric case by Chru\'sciel and Pollack.

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