Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893792 | Journal of Geometry and Physics | 2006 | 19 Pages |
Abstract
We considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced. For one distinguished value of the parameter, the resulting Euler-Lagrange equations provide a new type of Einstein-Dirac coupling. We establish a special method for constructing global smooth solutions of a newly derived Einstein-Dirac system called the CL-Einstein-Dirac equation of type II (see Definition 3.1).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Eui Chul Kim,