1202.3688 (Julien Cortier)

Gluing construction of initial data with Kerr-de Sitter ends    [PDF]

Julien Cortier

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.

View original: http://arxiv.org/abs/1202.3688