Publication Date:
2012-11-10
Description:
We construct initial data sets which satisfy the vacuum constraint equations of General Relativity with positive cosmological constant. More precisely, 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 Chruściel and Pollack (Ann H Poincaré 9(4):639–654, 2008 ). We also deal with the case of asymptotically Kerr–de Sitter initial data. Content Type Journal Article Pages 1-26 DOI 10.1007/s00023-012-0210-z Authors Julien Cortier, Max-Planck-Institut für Gravitationsphysik, (Albert-Einstein-Institut), Am Mühlenberg 1, 14476 Golm, Germany Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
Print ISSN:
1424-0637
Electronic ISSN:
1424-0661
Topics:
Mathematics
,
Physics
