A SET OF NONCONSTANT MEAN-CURVATURE SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON CLOSED MANIFOLDS

Citation
J. Isenberg et V. Moncrief, A SET OF NONCONSTANT MEAN-CURVATURE SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON CLOSED MANIFOLDS, Classical and quantum gravity, 13(7), 1996, pp. 1819-1847
Citations number
17
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
13
Issue
7
Year of publication
1996
Pages
1819 - 1847
Database
ISI
SICI code
0264-9381(1996)13:7<1819:ASONMS>2.0.ZU;2-P
Abstract
We prove that a certain class of conformal data (open in the set of al l conformal data) maps to solutions of the Einstein constraint equatio ns with nonconstant mean curvature. The method of proof is constructiv e, and it should apply to larger classes of conformal data as well.